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56568957120 = 26335131134457
BaseRepresentation
bin110100101011110001…
…011100100011000000
312102000101110202202000
4310223301130203000
51411323123111440
641553141024000
74041555126144
oct645361344300
9172011422660
1056568957120
1121a99779835
12ab689b5000
1354469857c0
142a48d25224
151711417730
hexd2bc5c8c0

56568957120 has 448 divisors, whose sum is σ = 216864224640. Its totient is φ = 13798342656.

The previous prime is 56568957119. The next prime is 56568957163. The reversal of 56568957120 is 2175986565.

56568957120 is a `hidden beast` number, since 5 + 6 + 5 + 68 + 9 + 571 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12689932 + ... + 12694388.

It is an arithmetic number, because the mean of its divisors is an integer number (484071930).

Almost surely, 256568957120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56568957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108432112320).

56568957120 is an abundant number, since it is smaller than the sum of its proper divisors (160295267520).

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

56568957120 is a wasteful number, since it uses less digits than its factorization.

56568957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 56568957120 in words is "fifty-six billion, five hundred sixty-eight million, nine hundred fifty-seven thousand, one hundred twenty".