59678984064 has 128 divisors (see below), whose sum is σ = 182170759680. Its totient is φ = 16956794880.

The previous prime is 59678984063. The next prime is 59678984077. The reversal of 59678984064 is 46048987695.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×59678984064² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59678983986 and 59678984004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59678984063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425197 + ... + 547859.

It is an arithmetic number, because the mean of its divisors is an integer number (1423209060).

Almost surely, 2^59678984064 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 59678984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91085379840).

59678984064 is an abundant number, since it is smaller than the sum of its proper divisors (122491775616).

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

59678984064 is a wasteful number, since it uses less digits than its factorization.

59678984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122868 (or 122856 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 59678984064 in words is "fifty-nine billion, six hundred seventy-eight million, nine hundred eighty-four thousand, sixty-four".