13775518310400 has 3024 divisors, whose sum is σ = 64197649998144. Its totient is φ = 2742681600000.

The previous prime is 13775518310371. The next prime is 13775518310447. The reversal of 13775518310400 is 401381557731.

13775518310400 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 55 + 183 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 136391270350 + ... + 136391270450.

Almost surely, 2^{13775518310400} is an apocalyptic number.

13775518310400 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 13775518310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098824999072).

13775518310400 is an abundant number, since it is smaller than the sum of its proper divisors (50422131687744).

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

13775518310400 is a wasteful number, since it uses less digits than its factorization.

13775518310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13775518310400 in words is "thirteen trillion, seven hundred seventy-five billion, five hundred eighteen million, three hundred ten thousand, four hundred".