51765762042 has 160 divisors (see below), whose sum is σ = 127062359424. Its totient is φ = 15686784000.

The previous prime is 51765762031. The next prime is 51765762049. The reversal of 51765762042 is 24026756715.

51765762042 is a `hidden beast` number, since 5 + 1 + 76 + 576 + 2 + 0 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51765762049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11627917 + ... + 11632367.

Almost surely, 2^51765762042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51765762042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63531179712).

51765762042 is an abundant number, since it is smaller than the sum of its proper divisors (75296597382).

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

51765762042 is a wasteful number, since it uses less digits than its factorization.

51765762042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 51765762042 in words is "fifty-one billion, seven hundred sixty-five million, seven hundred sixty-two thousand, forty-two".