85670746161504 has 192 divisors, whose sum is σ = 261274454364672. Its totient is φ = 24071580979200.

The previous prime is 85670746161493. The next prime is 85670746161557. The reversal of 85670746161504 is 40516164707658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221860759 + ... + 222246569.

It is an arithmetic number, because the mean of its divisors is an integer number (1360804449816).

Almost surely, 2^{85670746161504} is an apocalyptic number.

85670746161504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85670746161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130637227182336).

85670746161504 is an abundant number, since it is smaller than the sum of its proper divisors (175603708203168).

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

85670746161504 is a wasteful number, since it uses less digits than its factorization.

85670746161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391309 (or 391301 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 85670746161504 in words is "eighty-five trillion, six hundred seventy billion, seven hundred forty-six million, one hundred sixty-one thousand, five hundred four".