84807370552320 has 1760 divisors, whose sum is σ = 338814130507776. Its totient is φ = 20143846195200.

The previous prime is 84807370552297. The next prime is 84807370552337. The reversal of 84807370552320 is 2325507370848.

84807370552320 is a `hidden beast` number, since 8 + 4 + 80 + 7 + 3 + 7 + 0 + 552 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 93092612665 + ... + 93092613575.

Almost surely, 2^{84807370552320} is an apocalyptic number.

84807370552320 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 84807370552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169407065253888).

84807370552320 is an abundant number, since it is smaller than the sum of its proper divisors (254006759955456).

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

84807370552320 is a wasteful number, since it uses less digits than its factorization.

84807370552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 84807370552320 in words is "eighty-four trillion, eight hundred seven billion, three hundred seventy million, five hundred fifty-two thousand, three hundred twenty".