11952556862400 has 3696 divisors, whose sum is σ = 57847119833088. Its totient is φ = 2358180864000.

The previous prime is 11952556862333. The next prime is 11952556862479. The reversal of 11952556862400 is 426865525911.

11952556862400 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 2 + 5 + 5 + 6 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

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 527 ways as a sum of consecutive naturals, for example, 225519940774 + ... + 225519940826.

Almost surely, 2^{11952556862400} is an apocalyptic number.

11952556862400 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 11952556862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28923559916544).

11952556862400 is an abundant number, since it is smaller than the sum of its proper divisors (45894562970688).

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

11952556862400 is an equidigital number, since it uses as much as digits as its factorization.

11952556862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 11952556862400 in words is "eleven trillion, nine hundred fifty-two billion, five hundred fifty-six million, eight hundred sixty-two thousand, four hundred".