86961026552400 has 2160 divisors, whose sum is σ = 427699345364928. Its totient is φ = 16679706624000.

The previous prime is 86961026552339. The next prime is 86961026552417. The reversal of 86961026552400 is 425562016968.

86961026552400 is a `hidden beast` number, since 8 + 6 + 9 + 6 + 102 + 6 + 5 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 431 ways as a sum of consecutive naturals, for example, 681016560 + ... + 681144240.

Almost surely, 2^{86961026552400} is an apocalyptic number.

86961026552400 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 86961026552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213849672682464).

86961026552400 is an abundant number, since it is smaller than the sum of its proper divisors (340738318812528).

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

86961026552400 is a wasteful number, since it uses less digits than its factorization.

86961026552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127752 (or 127722 counting only the distinct ones).

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

The spelling of 86961026552400 in words is "eighty-six trillion, nine hundred sixty-one billion, twenty-six million, five hundred fifty-two thousand, four hundred".