86951084774400 has 3960 divisors, whose sum is σ = 417766188697088. Its totient is φ = 17473978368000.

The previous prime is 86951084774383. The next prime is 86951084774419. The reversal of 86951084774400 is 447748015968.

86951084774400 is a `hidden beast` number, since 8 + 6 + 9 + 510 + 8 + 4 + 7 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a super-2 number, since 2×86951084774400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 54446514402 + ... + 54446515998.

Almost surely, 2^{86951084774400} is an apocalyptic number.

86951084774400 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 86951084774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208883094348544).

86951084774400 is an abundant number, since it is smaller than the sum of its proper divisors (330815103922688).

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

86951084774400 is a wasteful number, since it uses less digits than its factorization.

86951084774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 86951084774400 in words is "eighty-six trillion, nine hundred fifty-one billion, eighty-four million, seven hundred seventy-four thousand, four hundred".