84392053200 has 2160 divisors, whose sum is σ = 401966772480. Its totient is φ = 16826019840.

The previous prime is 84392053189. The next prime is 84392053217. The reversal of 84392053200 is 235029348.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1795575577 + ... + 1795575623.

It is an arithmetic number, because the mean of its divisors is an integer number (186095728).

Almost surely, 2^84392053200 is an apocalyptic number.

84392053200 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 84392053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200983386240).

84392053200 is an abundant number, since it is smaller than the sum of its proper divisors (317574719280).

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

84392053200 is a wasteful number, since it uses less digits than its factorization.

84392053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 84392053200 in words is "eighty-four billion, three hundred ninety-two million, fifty-three thousand, two hundred".