172742414515200 has 1188 divisors, whose sum is σ = 635605187747712. Its totient is φ = 44823262003200.

The previous prime is 172742414515199. The next prime is 172742414515201. The reversal of 172742414515200 is 2515414247271.

172742414515200 is a `hidden beast` number, since 1 + 7 + 2 + 7 + 42 + 41 + 45 + 1 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172742414515199) and next prime (172742414515201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172742414515201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 97210136712 + ... + 97210138488.

Almost surely, 2^{172742414515200} is an apocalyptic number.

172742414515200 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 172742414515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317802593873856).

172742414515200 is an abundant number, since it is smaller than the sum of its proper divisors (462862773232512).

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

172742414515200 is a wasteful number, since it uses less digits than its factorization.

172742414515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 172742414515200 in words is "one hundred seventy-two trillion, seven hundred forty-two billion, four hundred fourteen million, five hundred fifteen thousand, two hundred".