86954212800 has 1680 divisors, whose sum is σ = 402717682752. Its totient is φ = 17915904000.

The previous prime is 86954212789. The next prime is 86954212811. The reversal of 86954212800 is 821245968.

86954212800 is a `hidden beast` number, since 86 + 9 + 542 + 1 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86954212789) and next prime (86954212811).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×86954212800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 860932750 + ... + 860932850.

Almost surely, 2^86954212800 is an apocalyptic number.

86954212800 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 86954212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201358841376).

86954212800 is an abundant number, since it is smaller than the sum of its proper divisors (315763469952).

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

86954212800 is a wasteful number, since it uses less digits than its factorization.

86954212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86954212800 in words is "eighty-six billion, nine hundred fifty-four million, two hundred twelve thousand, eight hundred".