13435740057600 has 2808 divisors, whose sum is σ = 59815954644992. Its totient is φ = 2820361420800.

The previous prime is 13435740057541. The next prime is 13435740057637. The reversal of 13435740057600 is 675004753431.

13435740057600 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 5 + 74 + 0 + 0 + 576 + 0 + 0 = 666.

It is a super-2 number, since 2×13435740057600² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 105793228737 + ... + 105793228863.

Almost surely, 2^{13435740057600} is an apocalyptic number.

13435740057600 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 13435740057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29907977322496).

13435740057600 is an abundant number, since it is smaller than the sum of its proper divisors (46380214587392).

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

13435740057600 is a wasteful number, since it uses less digits than its factorization.

13435740057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 13435740057600 in words is "thirteen trillion, four hundred thirty-five billion, seven hundred forty million, fifty-seven thousand, six hundred".