56827798002000 has 120 divisors (see below), whose sum is σ = 198480555884520. Its totient is φ = 15154079462400.

The previous prime is 56827798001999. The next prime is 56827798002007. The reversal of 56827798002000 is 20089772865.

It is a happy number.

56827798002000 is a `hidden beast` number, since 568 + 2 + 7 + 79 + 8 + 0 + 0 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5208220224 + 56822589781776 = 72168^2 + 7538076^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×56827798002000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56827798002007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578531945 + ... + 1578567944.

It is an arithmetic number, because the mean of its divisors is an integer number (1654004632371).

Almost surely, 2^{56827798002000} is an apocalyptic number.

56827798002000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56827798002000 is an abundant number, since it is smaller than the sum of its proper divisors (141652757882520).

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

56827798002000 is a wasteful number, since it uses less digits than its factorization.

56827798002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157099918 (or 3157099899 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 56827798002000 in words is "fifty-six trillion, eight hundred twenty-seven billion, seven hundred ninety-eight million, two thousand".