86247653990400 has 1344 divisors, whose sum is σ = 383431275970560. Its totient is φ = 18553975603200.

The previous prime is 86247653990359. The next prime is 86247653990419. The reversal of 86247653990400 is 409935674268.

86247653990400 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 7 + 6 + 539 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×86247653990400² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 657956865 + ... + 658087935.

Almost surely, 2^{86247653990400} is an apocalyptic number.

86247653990400 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 86247653990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191715637985280).

86247653990400 is an abundant number, since it is smaller than the sum of its proper divisors (297183621980160).

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

86247653990400 is a wasteful number, since it uses less digits than its factorization.

86247653990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131140 (or 131105 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 86247653990400 in words is "eighty-six trillion, two hundred forty-seven billion, six hundred fifty-three million, nine hundred ninety thousand, four hundred".