172133001976320 has 1440 divisors, whose sum is σ = 760330470556800. Its totient is φ = 35587647406080.

The previous prime is 172133001976289. The next prime is 172133001976337. The reversal of 172133001976320 is 23679100331271.

172133001976320 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 3 + 3 + 0 + 0 + 1 + 9 + 7 + 632 + 0 = 666.

172133001976320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 2471258614 + ... + 2471328266.

It is an arithmetic number, because the mean of its divisors is an integer number (528007271220).

Almost surely, 2^{172133001976320} is an apocalyptic number.

172133001976320 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 172133001976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380165235278400).

172133001976320 is an abundant number, since it is smaller than the sum of its proper divisors (588197468580480).

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

172133001976320 is a wasteful number, since it uses less digits than its factorization.

172133001976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69906 (or 69880 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 172133001976320 in words is "one hundred seventy-two trillion, one hundred thirty-three billion, one million, nine hundred seventy-six thousand, three hundred twenty".