81700170854400 has 2808 divisors, whose sum is σ = 372168491370624. Its totient is φ = 17003918131200.

The previous prime is 81700170854387. The next prime is 81700170854411. The reversal of 81700170854400 is 445807100718.

81700170854400 is a `hidden beast` number, since 8 + 1 + 70 + 0 + 170 + 8 + 5 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23798475084 + ... + 23798478516.

It is an arithmetic number, because the mean of its divisors is an integer number (132538636528).

Almost surely, 2^{81700170854400} is an apocalyptic number.

81700170854400 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 81700170854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186084245685312).

81700170854400 is an abundant number, since it is smaller than the sum of its proper divisors (290468320516224).

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

81700170854400 is a wasteful number, since it uses less digits than its factorization.

81700170854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 81700170854400 in words is "eighty-one trillion, seven hundred billion, one hundred seventy million, eight hundred fifty-four thousand, four hundred".