86960640238920 has 384 divisors, whose sum is σ = 342233060083200. Its totient is φ = 18694557278208.

The previous prime is 86960640238897. The next prime is 86960640238963. The reversal of 86960640238920 is 2983204606968.

86960640238920 is a `hidden beast` number, since 86 + 9 + 60 + 6 + 402 + 3 + 8 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61288066 + ... + 62690894.

It is an arithmetic number, because the mean of its divisors is an integer number (891231927300).

Almost surely, 2^{86960640238920} 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 86960640238920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171116530041600).

86960640238920 is an abundant number, since it is smaller than the sum of its proper divisors (255272419844280).

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

86960640238920 is a wasteful number, since it uses less digits than its factorization.

86960640238920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404317 (or 1404310 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 86960640238920 in words is "eighty-six trillion, nine hundred sixty billion, six hundred forty million, two hundred thirty-eight thousand, nine hundred twenty".