10153951416 has 96 divisors (see below), whose sum is σ = 31491439200. Its totient is φ = 2895356160.

The previous prime is 10153951397. The next prime is 10153951463. The reversal of 10153951416 is 61415935101.

10153951416 is a `hidden beast` number, since 1 + 0 + 153 + 95 + 1 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236746 + ... + 276326.

It is an arithmetic number, because the mean of its divisors is an integer number (328035825).

Almost surely, 2^10153951416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153951416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745719600).

10153951416 is an abundant number, since it is smaller than the sum of its proper divisors (21337487784).

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

10153951416 is a wasteful number, since it uses less digits than its factorization.

10153951416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40109 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10153951416 in words is "ten billion, one hundred fifty-three million, nine hundred fifty-one thousand, four hundred sixteen".