59921880480 has 1152 divisors, whose sum is σ = 267478848000. Its totient is φ = 12102451200.

The previous prime is 59921880479. The next prime is 59921880481. The reversal of 59921880480 is 8408812995.

59921880480 is a `hidden beast` number, since 599 + 2 + 1 + 8 + 8 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (59921880479) and next prime (59921880481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59921880481) 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, 222757786 + ... + 222758054.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 2^59921880480 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 59921880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424000).

59921880480 is an abundant number, since it is smaller than the sum of its proper divisors (207556967520).

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

59921880480 is a wasteful number, since it uses less digits than its factorization.

59921880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 59921880480 in words is "fifty-nine billion, nine hundred twenty-one million, eight hundred eighty thousand, four hundred eighty".