172400762880 has 336 divisors, whose sum is σ = 619789335984. Its totient is φ = 45970882560.

The previous prime is 172400762869. The next prime is 172400762893. The reversal of 172400762880 is 88267004271.

172400762880 is a `hidden beast` number, since 17 + 2 + 4 + 0 + 0 + 7 + 628 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9944620 + ... + 9961940.

It is an arithmetic number, because the mean of its divisors is an integer number (1844611119).

Almost surely, 2^172400762880 is an apocalyptic number.

172400762880 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 172400762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309894667992).

172400762880 is an abundant number, since it is smaller than the sum of its proper divisors (447388573104).

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

172400762880 is an frugal number, since it uses more digits than its factorization.

172400762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17367 (or 17331 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 172400762880 in words is "one hundred seventy-two billion, four hundred million, seven hundred sixty-two thousand, eight hundred eighty".