86956660961280 has 1664 divisors, whose sum is σ = 343719166279680. Its totient is φ = 20678934528000.

The previous prime is 86956660961173. The next prime is 86956660961293. The reversal of 86956660961280 is 8216906665968.

86956660961280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86956660961280² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86956660961199 and 86956660961208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117034536589 + ... + 117034537331.

Almost surely, 2^{86956660961280} is an apocalyptic number.

86956660961280 is a gapful number since it is divisible by the number (80) 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 86956660961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171859583139840).

86956660961280 is an abundant number, since it is smaller than the sum of its proper divisors (256762505318400).

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

86956660961280 is a wasteful number, since it uses less digits than its factorization.

86956660961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 86956660961280 in words is "eighty-six trillion, nine hundred fifty-six billion, six hundred sixty million, nine hundred sixty-one thousand, two hundred eighty".