83761538115258 has 64 divisors (see below), whose sum is σ = 188724832600320. Its totient is φ = 27532455641856.

The previous prime is 83761538115251. The next prime is 83761538115271. The reversal of 83761538115258 is 85251183516738.

83761538115258 is a `hidden beast` number, since 8 + 3 + 7 + 61 + 5 + 38 + 11 + 525 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83761538115195 and 83761538115204.

It is not an unprimeable number, because it can be changed into a prime (83761538115251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17309691 + ... + 21613617.

It is an arithmetic number, because the mean of its divisors is an integer number (2948825509380).

Almost surely, 2^{83761538115258} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83761538115258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94362416300160).

83761538115258 is an abundant number, since it is smaller than the sum of its proper divisors (104963294485062).

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

83761538115258 is a wasteful number, since it uses less digits than its factorization.

83761538115258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308948 (or 4308942 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 83761538115258 in words is "eighty-three trillion, seven hundred sixty-one billion, five hundred thirty-eight million, one hundred fifteen thousand, two hundred fifty-eight".