84798656092800 has 960 divisors, whose sum is σ = 344834621984160. Its totient is φ = 20388049920000.

The previous prime is 84798656092721. The next prime is 84798656092807. The reversal of 84798656092800 is 829065689748.

84798656092800 is a `hidden beast` number, since 8 + 4 + 7 + 9 + 8 + 6 + 5 + 609 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84798656092807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144600175 + ... + 145185425.

Almost surely, 2^{84798656092800} is an apocalyptic number.

84798656092800 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 84798656092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172417310992080).

84798656092800 is an abundant number, since it is smaller than the sum of its proper divisors (260035965891360).

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

84798656092800 is a wasteful number, since it uses less digits than its factorization.

84798656092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585343 (or 585317 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 84798656092800 in words is "eighty-four trillion, seven hundred ninety-eight billion, six hundred fifty-six million, ninety-two thousand, eight hundred".