84357104137200 has 90 divisors (see below), whose sum is σ = 292742583897504. Its totient is φ = 22495227768960.

The previous prime is 84357104137199. The next prime is 84357104137213. The reversal of 84357104137200 is 273140175348.

84357104137200 is a `hidden beast` number, since 8 + 4 + 3 + 571 + 0 + 4 + 1 + 3 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×84357104137200² (a number of 29 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11716260864 + ... + 11716268063.

Almost surely, 2^{84357104137200} is an apocalyptic number.

84357104137200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84357104137200 is an abundant number, since it is smaller than the sum of its proper divisors (208385479760304).

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

84357104137200 is a wasteful number, since it uses less digits than its factorization.

84357104137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23432528951 (or 23432528937 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 84357104137200 in words is "eighty-four trillion, three hundred fifty-seven billion, one hundred four million, one hundred thirty-seven thousand, two hundred".