84139954113600 has 2268 divisors, whose sum is σ = 390140473008832. Its totient is φ = 17481779251200.

The previous prime is 84139954113587. The next prime is 84139954113637. The reversal of 84139954113600 is 631145993148.

84139954113600 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 99 + 541 + 1 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 323 ways as a sum of consecutive naturals, for example, 8891462469 + ... + 8891471931.

Almost surely, 2^{84139954113600} is an apocalyptic number.

84139954113600 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 84139954113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195070236504416).

84139954113600 is an abundant number, since it is smaller than the sum of its proper divisors (306000518895232).

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

84139954113600 is an equidigital number, since it uses as much as digits as its factorization.

84139954113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9538 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 84139954113600 in words is "eighty-four trillion, one hundred thirty-nine billion, nine hundred fifty-four million, one hundred thirteen thousand, six hundred".