59965476480 has 768 divisors, whose sum is σ = 256468343040. Its totient is φ = 12572098560.

The previous prime is 59965476451. The next prime is 59965476521. The reversal of 59965476480 is 8467456995.

59965476480 is a `hidden beast` number, since 5 + 9 + 9 + 6 + 547 + 6 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 122129035 + ... + 122129525.

It is an arithmetic number, because the mean of its divisors is an integer number (333943155).

Almost surely, 2^59965476480 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 59965476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128234171520).

59965476480 is an abundant number, since it is smaller than the sum of its proper divisors (196502866560).

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

59965476480 is a wasteful number, since it uses less digits than its factorization.

59965476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 59965476480 in words is "fifty-nine billion, nine hundred sixty-five million, four hundred seventy-six thousand, four hundred eighty".