85373656624800 has 360 divisors, whose sum is σ = 311421535738236. Its totient is φ = 22760428584960.

The previous prime is 85373656624799. The next prime is 85373656624807. The reversal of 85373656624800 is 842665637358.

85373656624800 is a `hidden beast` number, since 8 + 5 + 37 + 3 + 65 + 6 + 62 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25894949109264 + 59478707515536 = 5088708^2 + 7712244^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×85373656624800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85373656624807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 253653424 + ... + 253989776.

Almost surely, 2^{85373656624800} is an apocalyptic number.

85373656624800 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 85373656624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155710767869118).

85373656624800 is an abundant number, since it is smaller than the sum of its proper divisors (226047879113436).

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

85373656624800 is a wasteful number, since it uses less digits than its factorization.

85373656624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340302 (or 340280 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 85373656624800 in words is "eighty-five trillion, three hundred seventy-three billion, six hundred fifty-six million, six hundred twenty-four thousand, eight hundred".