86453404800 has 1152 divisors, whose sum is σ = 369840168000. Its totient is φ = 17588551680.

The previous prime is 86453404787. The next prime is 86453404813. The reversal of 86453404800 is 840435468.

It is an interprime number because it is at equal distance from previous prime (86453404787) and next prime (86453404813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151938916 + ... + 151939484.

Almost surely, 2^86453404800 is an apocalyptic number.

86453404800 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 86453404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184920084000).

86453404800 is an abundant number, since it is smaller than the sum of its proper divisors (283386763200).

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

86453404800 is a wasteful number, since it uses less digits than its factorization.

86453404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 86453404800 in words is "eighty-six billion, four hundred fifty-three million, four hundred four thousand, eight hundred".