56967261120 has 2240 divisors, whose sum is σ = 282961299456. Its totient is φ = 10510663680.

The previous prime is 56967261067. The next prime is 56967261133. The reversal of 56967261120 is 2116276965.

56967261120 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 7 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 780373404 + ... + 780373476.

Almost surely, 2^56967261120 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 56967261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141480649728).

56967261120 is an abundant number, since it is smaller than the sum of its proper divisors (225994038336).

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

56967261120 is a wasteful number, since it uses less digits than its factorization.

56967261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56967261120 in words is "fifty-six billion, nine hundred sixty-seven million, two hundred sixty-one thousand, one hundred twenty".