172397010240 has 672 divisors, whose sum is σ = 739893563136. Its totient is φ = 35871621120.

The previous prime is 172397010211. The next prime is 172397010257. The reversal of 172397010240 is 42010793271.

172397010240 is a `hidden beast` number, since 17 + 2 + 397 + 0 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172397010195 and 172397010204.

It is a congruent number.

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, 19127335 + ... + 19136345.

It is an arithmetic number, because the mean of its divisors is an integer number (1101032088).

Almost surely, 2^172397010240 is an apocalyptic number.

172397010240 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 172397010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369946781568).

172397010240 is an abundant number, since it is smaller than the sum of its proper divisors (567496552896).

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

172397010240 is a wasteful number, since it uses less digits than its factorization.

172397010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 172397010240 in words is "one hundred seventy-two billion, three hundred ninety-seven million, ten thousand, two hundred forty".