172642821120 has 1408 divisors, whose sum is σ = 782903808000. Its totient is φ = 35765452800.

The previous prime is 172642821119. The next prime is 172642821133. The reversal of 172642821120 is 21128246271.

172642821120 is a `hidden beast` number, since 1 + 7 + 2 + 642 + 8 + 2 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521579355 + ... + 521579685.

Almost surely, 2^172642821120 is an apocalyptic number.

172642821120 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 172642821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391451904000).

172642821120 is an abundant number, since it is smaller than the sum of its proper divisors (610260986880).

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

172642821120 is a wasteful number, since it uses less digits than its factorization.

172642821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 172642821120 in words is "one hundred seventy-two billion, six hundred forty-two million, eight hundred twenty-one thousand, one hundred twenty".