161825976000 has 672 divisors, whose sum is σ = 650598818688. Its totient is φ = 38097100800.

The previous prime is 161825975939. The next prime is 161825976077. The reversal of 161825976000 is 679528161.

161825976000 is a `hidden beast` number, since 1 + 6 + 18 + 25 + 9 + 7 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21524242 + ... + 21531758.

It is an arithmetic number, because the mean of its divisors is an integer number (968153004).

Almost surely, 2^161825976000 is an apocalyptic number.

161825976000 is a gapful number since it is divisible by the number (10) 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 161825976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325299409344).

161825976000 is an abundant number, since it is smaller than the sum of its proper divisors (488772842688).

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

161825976000 is a wasteful number, since it uses less digits than its factorization.

161825976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 161825976000 in words is "one hundred sixty-one billion, eight hundred twenty-five million, nine hundred seventy-six thousand".