86040951796800 has 6720 divisors, whose sum is σ = 454526768424960. Its totient is φ = 15371845632000.

The previous prime is 86040951796771. The next prime is 86040951796831. The reversal of 86040951796800 is 869715904068.

86040951796800 is a `hidden beast` number, since 8 + 60 + 409 + 5 + 1 + 7 + 96 + 80 + 0 = 666.

86040951796800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×86040951796800² (a number of 29 digits) contains 22 as substring.

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 959 ways as a sum of consecutive naturals, for example, 165145780540 + ... + 165145781060.

It is an arithmetic number, because the mean of its divisors is an integer number (67637911968).

Almost surely, 2^{86040951796800} is an apocalyptic number.

86040951796800 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 86040951796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227263384212480).

86040951796800 is an abundant number, since it is smaller than the sum of its proper divisors (368485816628160).

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

86040951796800 is a wasteful number, since it uses less digits than its factorization.

86040951796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 86040951796800 in words is "eighty-six trillion, forty billion, nine hundred fifty-one million, seven hundred ninety-six thousand, eight hundred".