56023169400 has 576 divisors, whose sum is σ = 213736320000. Its totient is φ = 13477305600.

The previous prime is 56023169351. The next prime is 56023169407. The reversal of 56023169400 is 496132065.

It is a happy number.

56023169400 is a `hidden beast` number, since 5 + 602 + 3 + 1 + 6 + 9 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56023169407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116958361 + ... + 116958839.

It is an arithmetic number, because the mean of its divisors is an integer number (371070000).

Almost surely, 2^56023169400 is an apocalyptic number.

56023169400 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 56023169400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160000).

56023169400 is an abundant number, since it is smaller than the sum of its proper divisors (157713150600).

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

56023169400 is a wasteful number, since it uses less digits than its factorization.

56023169400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 56023169400 in words is "fifty-six billion, twenty-three million, one hundred sixty-nine thousand, four hundred".