56527056000 has 192 divisors, whose sum is σ = 203003307000. Its totient is φ = 15073843200.

The previous prime is 56527055987. The next prime is 56527056013. The reversal of 56527056000 is 65072565.

It is an interprime number because it is at equal distance from previous prime (56527055987) and next prime (56527056013).

It can be written as a sum of positive squares in 4 ways, for example, as 25418562624 + 31108493376 = 159432^2 + 176376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52275 + ... + 340274.

Almost surely, 2^56527056000 is an apocalyptic number.

56527056000 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 56527056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101501653500).

56527056000 is an abundant number, since it is smaller than the sum of its proper divisors (146476251000).

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

56527056000 is a wasteful number, since it uses less digits than its factorization.

56527056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392584 (or 392559 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 56527056000 in words is "fifty-six billion, five hundred twenty-seven million, fifty-six thousand".