86297702400 has 1560 divisors, whose sum is σ = 398290323760. Its totient is φ = 18207866880.

The previous prime is 86297702399. The next prime is 86297702401. The reversal of 86297702400 is 420779268.

It is an interprime number because it is at equal distance from previous prime (86297702399) and next prime (86297702401).

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86297702401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6638284794 + ... + 6638284806.

Almost surely, 2^86297702400 is an apocalyptic number.

86297702400 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 86297702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199145161880).

86297702400 is an abundant number, since it is smaller than the sum of its proper divisors (311992621360).

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

86297702400 is an equidigital number, since it uses as much as digits as its factorization.

86297702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 86297702400 in words is "eighty-six billion, two hundred ninety-seven million, seven hundred two thousand, four hundred".