59914950480 has 480 divisors, whose sum is σ = 259254240000. Its totient is φ = 12449479680.

The previous prime is 59914950479. The next prime is 59914950497. The reversal of 59914950480 is 8405941995.

59914950480 is a `hidden beast` number, since 5 + 9 + 91 + 49 + 504 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1813146 + ... + 1845894.

It is an arithmetic number, because the mean of its divisors is an integer number (540113000).

Almost surely, 2^59914950480 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 59914950480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129627120000).

59914950480 is an abundant number, since it is smaller than the sum of its proper divisors (199339289520).

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

59914950480 is a wasteful number, since it uses less digits than its factorization.

59914950480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32800 (or 32777 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 59914950480 in words is "fifty-nine billion, nine hundred fourteen million, nine hundred fifty thousand, four hundred eighty".