56041395840000 has 660 divisors, whose sum is σ = 207674040881164. Its totient is φ = 14540414976000.

The previous prime is 56041395839981. The next prime is 56041395840071. The reversal of 56041395840000 is 4859314065.

56041395840000 is a `hidden beast` number, since 5 + 60 + 4 + 1 + 3 + 9 + 584 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 49090537783296 + 6950858056704 = 7006464^2 + 2636448^2 .

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, 212988522 + ... + 213251478.

Almost surely, 2^{56041395840000} is an apocalyptic number.

56041395840000 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 56041395840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103837020440582).

56041395840000 is an abundant number, since it is smaller than the sum of its proper divisors (151632645041164).

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

56041395840000 is a wasteful number, since it uses less digits than its factorization.

56041395840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263040 (or 263004 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56041395840000 in words is "fifty-six trillion, forty-one billion, three hundred ninety-five million, eight hundred forty thousand".