13427610662400 has 480 divisors, whose sum is σ = 48408842135808. Its totient is φ = 3253894348800.

The previous prime is 13427610662371. The next prime is 13427610662437. The reversal of 13427610662400 is 426601672431.

It is a happy number.

13427610662400 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 (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489800294 + ... + 1489809306.

Almost surely, 2^{13427610662400} is an apocalyptic number.

13427610662400 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 13427610662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24204421067904).

13427610662400 is an abundant number, since it is smaller than the sum of its proper divisors (34981231473408).

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

13427610662400 is a wasteful number, since it uses less digits than its factorization.

13427610662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12561 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 13427610662400 in words is "thirteen trillion, four hundred twenty-seven billion, six hundred ten million, six hundred sixty-two thousand, four hundred".