8161759558400 has 648 divisors, whose sum is σ = 24355894872960. Its totient is φ = 2697117696000.

The previous prime is 8161759558333. The next prime is 8161759558471. The reversal of 8161759558400 is 48559571618.

It is a super-2 number, since 2×8161759558400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8161759558400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2615108840 + ... + 2615111960.

It is an arithmetic number, because the mean of its divisors is an integer number (37586257520).

Almost surely, 2^{8161759558400} is an apocalyptic number.

8161759558400 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 8161759558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177947436480).

8161759558400 is an abundant number, since it is smaller than the sum of its proper divisors (16194135314560).

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

8161759558400 is a wasteful number, since it uses less digits than its factorization.

8161759558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 59.

The spelling of 8161759558400 in words is "eight trillion, one hundred sixty-one billion, seven hundred fifty-nine million, five hundred fifty-eight thousand, four hundred".