172115150400 has 672 divisors, whose sum is σ = 642775407360. Its totient is φ = 45349632000.

The previous prime is 172115150329. The next prime is 172115150429. The reversal of 172115150400 is 4051511271.

172115150400 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 151 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353418957 + ... + 353419443.

Almost surely, 2^172115150400 is an apocalyptic number.

172115150400 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 172115150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321387703680).

172115150400 is an abundant number, since it is smaller than the sum of its proper divisors (470660256960).

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

172115150400 is an equidigital number, since it uses as much as digits as its factorization.

172115150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 172115150400 its reverse (4051511271), we get a palindrome (176166661671).

The spelling of 172115150400 in words is "one hundred seventy-two billion, one hundred fifteen million, one hundred fifty thousand, four hundred".