12534992870400 has 5544 divisors, whose sum is σ = 64056182315552. Its totient is φ = 2364899328000.

The previous prime is 12534992870377. The next prime is 12534992870417. The reversal of 12534992870400 is 407829943521.

12534992870400 is a `hidden beast` number, since 1 + 25 + 3 + 499 + 28 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 205491686370 + ... + 205491686430.

Almost surely, 2^{12534992870400} is an apocalyptic number.

12534992870400 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 12534992870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32028091157776).

12534992870400 is an abundant number, since it is smaller than the sum of its proper divisors (51521189445152).

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

12534992870400 is a wasteful number, since it uses less digits than its factorization.

12534992870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12534992870400 in words is "twelve trillion, five hundred thirty-four billion, nine hundred ninety-two million, eight hundred seventy thousand, four hundred".