172931520000 has 200 divisors, whose sum is σ = 575694387576. Its totient is φ = 46114816000.

The previous prime is 172931519977. The next prime is 172931520019. The reversal of 172931520000 is 25139271.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 172931520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 869932 + ... + 1050068.

Almost surely, 2^172931520000 is an apocalyptic number.

172931520000 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 172931520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287847193788).

172931520000 is an abundant number, since it is smaller than the sum of its proper divisors (402762867576).

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

172931520000 is an frugal number, since it uses more digits than its factorization.

172931520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180178 (or 180147 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 172931520000 its reverse (25139271), we get a palindrome (172956659271).

The spelling of 172931520000 in words is "one hundred seventy-two billion, nine hundred thirty-one million, five hundred twenty thousand".