86526461952000 has 1920 divisors, whose sum is σ = 377499998453760. Its totient is φ = 19136839680000.

The previous prime is 86526461951981. The next prime is 86526461952109. The reversal of 86526461952000 is 25916462568.

86526461952000 is a `hidden beast` number, since 8 + 6 + 52 + 6 + 4 + 61 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 11999228395 + ... + 11999235605.

It is an arithmetic number, because the mean of its divisors is an integer number (196614582528).

Almost surely, 2^{86526461952000} is an apocalyptic number.

86526461952000 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 86526461952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188749999226880).

86526461952000 is an abundant number, since it is smaller than the sum of its proper divisors (290973536501760).

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

86526461952000 is an equidigital number, since it uses as much as digits as its factorization.

86526461952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86526461952000 in words is "eighty-six trillion, five hundred twenty-six billion, four hundred sixty-one million, nine hundred fifty-two thousand".