11558842106400 has 360 divisors, whose sum is σ = 43512626513664. Its totient is φ = 2982926476800.

The previous prime is 11558842106311. The next prime is 11558842106417. The reversal of 11558842106400 is 460124885511.

11558842106400 is a `hidden beast` number, since 1 + 1 + 5 + 588 + 4 + 2 + 1 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 868252 + ... + 4885851.

Almost surely, 2^{11558842106400} is an apocalyptic number.

11558842106400 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 11558842106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21756313256832).

11558842106400 is an abundant number, since it is smaller than the sum of its proper divisors (31953784407264).

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

11558842106400 is a wasteful number, since it uses less digits than its factorization.

11558842106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754166 (or 5754144 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 11558842106400 in words is "eleven trillion, five hundred fifty-eight billion, eight hundred forty-two million, one hundred six thousand, four hundred".