59691016528416 has 2592 divisors, whose sum is σ = 236656368748800. Its totient is φ = 14116062191616.

The previous prime is 59691016528211. The next prime is 59691016528459. The reversal of 59691016528416 is 61482561019695.

59691016528416 is a `hidden beast` number, since 5 + 9 + 6 + 91 + 0 + 1 + 6 + 528 + 4 + 16 = 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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 226962039901 + ... + 226962040163.

It is an arithmetic number, because the mean of its divisors is an integer number (91302611400).

Almost surely, 2^{59691016528416} is an apocalyptic number.

59691016528416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59691016528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118328184374400).

59691016528416 is an abundant number, since it is smaller than the sum of its proper divisors (176965352220384).

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

59691016528416 is a wasteful number, since it uses less digits than its factorization.

59691016528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 59691016528416 in words is "fifty-nine trillion, six hundred ninety-one billion, sixteen million, five hundred twenty-eight thousand, four hundred sixteen".