59400417672 has 96 divisors (see below), whose sum is σ = 170489011680. Its totient is φ = 18619061760.

The previous prime is 59400417617. The next prime is 59400417673. The reversal of 59400417672 is 27671400495.

59400417672 is a `hidden beast` number, since 5 + 9 + 400 + 4 + 176 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (59400417673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1412583 + ... + 1454025.

It is an arithmetic number, because the mean of its divisors is an integer number (1775927205).

Almost surely, 2^59400417672 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 59400417672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244505840).

59400417672 is an abundant number, since it is smaller than the sum of its proper divisors (111088594008).

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

59400417672 is a wasteful number, since it uses less digits than its factorization.

59400417672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42643 (or 42636 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 59400417672 in words is "fifty-nine billion, four hundred million, four hundred seventeen thousand, six hundred seventy-two".