172503540673920 has 1024 divisors, whose sum is σ = 664978793472000. Its totient is φ = 42102374400000.

The previous prime is 172503540673897. The next prime is 172503540673943. The reversal of 172503540673920 is 29376045305271.

172503540673920 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 0 + 3 + 540 + 6 + 7 + 3 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (172503540673897) and next prime (172503540673943).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6116915820 + ... + 6116944020.

It is an arithmetic number, because the mean of its divisors is an integer number (649393353000).

Almost surely, 2^{172503540673920} is an apocalyptic number.

172503540673920 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 172503540673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332489396736000).

172503540673920 is an abundant number, since it is smaller than the sum of its proper divisors (492475252798080).

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

172503540673920 is a wasteful number, since it uses less digits than its factorization.

172503540673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28880 (or 28862 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 172503540673920 in words is "one hundred seventy-two trillion, five hundred three billion, five hundred forty million, six hundred seventy-three thousand, nine hundred twenty".