56460121856640 has 1536 divisors, whose sum is σ = 214004413808640. Its totient is φ = 14205161963520.

The previous prime is 56460121856639. The next prime is 56460121856641. The reversal of 56460121856640 is 4665812106465.

56460121856640 is a `hidden beast` number, since 5 + 6 + 4 + 60 + 1 + 2 + 18 + 566 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56460121856639) and next prime (56460121856641).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (56460121856641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33270548272 + ... + 33270549968.

It is an arithmetic number, because the mean of its divisors is an integer number (139325790240).

Almost surely, 2^{56460121856640} 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 56460121856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107002206904320).

56460121856640 is an abundant number, since it is smaller than the sum of its proper divisors (157544291952000).

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

56460121856640 is a wasteful number, since it uses less digits than its factorization.

56460121856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 56460121856640 in words is "fifty-six trillion, four hundred sixty billion, one hundred twenty-one million, eight hundred fifty-six thousand, six hundred forty".