86758294013972 has 96 divisors (see below), whose sum is σ = 179430196248576. Its totient is φ = 35919181468800.

The previous prime is 86758294013957. The next prime is 86758294014013. The reversal of 86758294013972 is 27931049285768.

It is a junction number, because it is equal to n+sod(n) for n = 86758294013896 and 86758294013905.

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, 4100679218 + ... + 4100700374.

It is an arithmetic number, because the mean of its divisors is an integer number (1869064544256).

It is a 2-persistent number, because it is pandigital, and so is 2⋅86758294013972 = 173516588027944, but 3⋅86758294013972 = 260274882041916 is not.

Almost surely, 2^{86758294013972} 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 86758294013972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89715098124288).

86758294013972 is an abundant number, since it is smaller than the sum of its proper divisors (92671902234604).

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

86758294013972 is a wasteful number, since it uses less digits than its factorization.

86758294013972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29317 (or 29315 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 71.

The spelling of 86758294013972 in words is "eighty-six trillion, seven hundred fifty-eight billion, two hundred ninety-four million, thirteen thousand, nine hundred seventy-two".