13757750400 has 192 divisors, whose sum is σ = 46777363200. Its totient is φ = 3550310400.

The previous prime is 13757750389. The next prime is 13757750483. The reversal of 13757750400 is 405775731.

It is a tau number, because it is divible by the number of its divisors (192).

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, 274486 + ... + 320714.

It is an arithmetic number, because the mean of its divisors is an integer number (243632100).

Almost surely, 2^13757750400 is an apocalyptic number.

13757750400 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 13757750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23388681600).

13757750400 is an abundant number, since it is smaller than the sum of its proper divisors (33019612800).

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

13757750400 is a wasteful number, since it uses less digits than its factorization.

13757750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46287 (or 46270 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The spelling of 13757750400 in words is "thirteen billion, seven hundred fifty-seven million, seven hundred fifty thousand, four hundred".