161552100096 has 432 divisors, whose sum is σ = 501166201536. Its totient is φ = 49932140544.

The previous prime is 161552100041. The next prime is 161552100103. The reversal of 161552100096 is 690001255161.

161552100096 is a `hidden beast` number, since 1 + 6 + 1 + 552 + 10 + 0 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 161552100096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272431576 + ... + 272432168.

It is an arithmetic number, because the mean of its divisors is an integer number (1160106948).

Almost surely, 2^161552100096 is an apocalyptic number.

161552100096 is a gapful number since it is divisible by the number (16) 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 161552100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250583100768).

161552100096 is an abundant number, since it is smaller than the sum of its proper divisors (339614101440).

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

161552100096 is a wasteful number, since it uses less digits than its factorization.

161552100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 161552100096 in words is "one hundred sixty-one billion, five hundred fifty-two million, one hundred thousand, ninety-six".