59742082980 has 60 divisors (see below), whose sum is σ = 187413132060. Its totient is φ = 15931221696.

The previous prime is 59742082957. The next prime is 59742082997. The reversal of 59742082980 is 8928024795.

59742082980 is a `hidden beast` number, since 59 + 7 + 420 + 82 + 98 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12875894784 + 46866188196 = 113472^2 + 216486^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×59742082980³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18437295 + ... + 18440534.

It is an arithmetic number, because the mean of its divisors is an integer number (3123552201).

Almost surely, 2^59742082980 is an apocalyptic number.

It is an amenable number.

59742082980 is an abundant number, since it is smaller than the sum of its proper divisors (127671049080).

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

59742082980 is a wasteful number, since it uses less digits than its factorization.

59742082980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36877850 (or 36877839 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 59742082980 in words is "fifty-nine billion, seven hundred forty-two million, eighty-two thousand, nine hundred eighty".