172468589040 has 1440 divisors, whose sum is σ = 739100194560. Its totient is φ = 37115781120.

The previous prime is 172468589011. The next prime is 172468589053. The reversal of 172468589040 is 40985864271.

It is a happy number.

172468589040 is a `hidden beast` number, since 1 + 7 + 2 + 468 + 58 + 90 + 40 = 666.

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 287 ways as a sum of consecutive naturals, for example, 759773407 + ... + 759773633.

It is an arithmetic number, because the mean of its divisors is an integer number (513264024).

Almost surely, 2^172468589040 is an apocalyptic number.

172468589040 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 172468589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369550097280).

172468589040 is an abundant number, since it is smaller than the sum of its proper divisors (566631605520).

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

172468589040 is a wasteful number, since it uses less digits than its factorization.

172468589040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 172468589040 in words is "one hundred seventy-two billion, four hundred sixty-eight million, five hundred eighty-nine thousand, forty".