59742448320 has 112 divisors (see below), whose sum is σ = 189822124800. Its totient is φ = 15919574016.

The previous prime is 59742448307. The next prime is 59742448331. The reversal of 59742448320 is 2384424795.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 59742448320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320799 + ... + 1365281.

It is an arithmetic number, because the mean of its divisors is an integer number (1694840400).

Almost surely, 2^59742448320 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 59742448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94911062400).

59742448320 is an abundant number, since it is smaller than the sum of its proper divisors (130079676480).

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

59742448320 is a wasteful number, since it uses less digits than its factorization.

59742448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902 (or 45892 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 59742448320 in words is "fifty-nine billion, seven hundred forty-two million, four hundred forty-eight thousand, three hundred twenty".