10019148480 has 252 divisors, whose sum is σ = 37880702496. Its totient is φ = 2428800000.

The previous prime is 10019148449. The next prime is 10019148481. The reversal of 10019148480 is 8484191001.

10019148480 is a `hidden beast` number, since 10 + 0 + 1 + 91 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10019148481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 334105 + ... + 362855.

It is an arithmetic number, because the mean of its divisors is an integer number (150320248).

Almost surely, 2^10019148480 is an apocalyptic number.

10019148480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940351248).

10019148480 is an abundant number, since it is smaller than the sum of its proper divisors (27861554016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10019148480 is a wasteful number, since it uses less digits than its factorization.

10019148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28796 (or 28772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10019148480 in words is "ten billion, nineteen million, one hundred forty-eight thousand, four hundred eighty".