56261580480 has 336 divisors, whose sum is σ = 230884719840. Its totient is φ = 12859693056.

The previous prime is 56261580467. The next prime is 56261580493. The reversal of 56261580480 is 8408516265.

56261580480 is a `hidden beast` number, since 5 + 6 + 2 + 61 + 580 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56261580467) and next prime (56261580493).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356914 + ... + 489806.

Almost surely, 2^56261580480 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 56261580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115442359920).

56261580480 is an abundant number, since it is smaller than the sum of its proper divisors (174623139360).

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

56261580480 is a wasteful number, since it uses less digits than its factorization.

56261580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132933 (or 132910 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 56261580480 in words is "fifty-six billion, two hundred sixty-one million, five hundred eighty thousand, four hundred eighty".