86954577408 has 160 divisors (see below), whose sum is σ = 265695851520. Its totient is φ = 28049725440.

The previous prime is 86954577407. The next prime is 86954577443. The reversal of 86954577408 is 80477545968.

86954577408 is a `hidden beast` number, since 8 + 6 + 9 + 54 + 577 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×86954577408² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86954577403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327091 + ... + 529997.

It is an arithmetic number, because the mean of its divisors is an integer number (1660599072).

Almost surely, 2^86954577408 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 86954577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132847925760).

86954577408 is an abundant number, since it is smaller than the sum of its proper divisors (178741274112).

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

86954577408 is a wasteful number, since it uses less digits than its factorization.

86954577408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202965 (or 202943 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 86954577408 in words is "eighty-six billion, nine hundred fifty-four million, five hundred seventy-seven thousand, four hundred eight".