11801401920 has 1008 divisors, whose sum is σ = 53271773568. Its totient is φ = 2418647040.

The previous prime is 11801401891. The next prime is 11801401951. The reversal of 11801401920 is 2910410811.

11801401920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161663004 + ... + 161663076.

Almost surely, 2^11801401920 is an apocalyptic number.

11801401920 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 11801401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635886784).

11801401920 is an abundant number, since it is smaller than the sum of its proper divisors (41470371648).

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

11801401920 is an frugal number, since it uses more digits than its factorization.

11801401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11801401920 in words is "eleven billion, eight hundred one million, four hundred one thousand, nine hundred twenty".