172848038400 has 720 divisors, whose sum is σ = 652717473408. Its totient is φ = 45287424000.

The previous prime is 172848038383. The next prime is 172848038411. The reversal of 172848038400 is 4830848271.

172848038400 is a `hidden beast` number, since 172 + 8 + 48 + 0 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 189733945 + ... + 189734855.

Almost surely, 2^172848038400 is an apocalyptic number.

172848038400 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 172848038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326358736704).

172848038400 is an abundant number, since it is smaller than the sum of its proper divisors (479869435008).

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

172848038400 is an frugal number, since it uses more digits than its factorization.

172848038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 172848038400 in words is "one hundred seventy-two billion, eight hundred forty-eight million, thirty-eight thousand, four hundred".