56338191000 has 1152 divisors, whose sum is σ = 247024028160. Its totient is φ = 11467008000.

The previous prime is 56338190999. The next prime is 56338191059. The reversal of 56338191000 is 19183365.

It is a happy number.

56338191000 is a `hidden beast` number, since 5 + 633 + 8 + 1 + 9 + 10 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 177722842 + ... + 177723158.

It is an arithmetic number, because the mean of its divisors is an integer number (214430580).

Almost surely, 2^56338191000 is an apocalyptic number.

56338191000 is a gapful number since it is divisible by the number (50) 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 56338191000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512014080).

56338191000 is an abundant number, since it is smaller than the sum of its proper divisors (190685837160).

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

56338191000 is a wasteful number, since it uses less digits than its factorization.

56338191000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 56338191000 in words is "fifty-six billion, three hundred thirty-eight million, one hundred ninety-one thousand".