172016577040 has 320 divisors, whose sum is σ = 520958656512. Its totient is φ = 51256166400.

The previous prime is 172016577023. The next prime is 172016577101. The reversal of 172016577040 is 40775610271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 172016576984 and 172016577002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15844254 + ... + 15855106.

Almost surely, 2^172016577040 is an apocalyptic number.

172016577040 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 172016577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260479328256).

172016577040 is an abundant number, since it is smaller than the sum of its proper divisors (348942079472).

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

172016577040 is a wasteful number, since it uses less digits than its factorization.

172016577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 172016577040 in words is "one hundred seventy-two billion, sixteen million, five hundred seventy-seven thousand, forty".