207252312145920 has 840 divisors, whose sum is σ = 769807556246400. Its totient is φ = 53483989893120.

The previous prime is 207252312145859. The next prime is 207252312145973. The reversal of 207252312145920 is 29541213252702.

207252312145920 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 5 + 2 + 31 + 21 + 4 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1851254106 + ... + 1851366054.

It is an arithmetic number, because the mean of its divisors is an integer number (916437566960).

Almost surely, 2^{207252312145920} is an apocalyptic number.

207252312145920 is a gapful number since it is divisible by the number (20) 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 207252312145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384903778123200).

207252312145920 is an abundant number, since it is smaller than the sum of its proper divisors (562555244100480).

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

207252312145920 is an frugal number, since it uses more digits than its factorization.

207252312145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112031 (or 111990 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 207252312145920 in words is "two hundred seven trillion, two hundred fifty-two billion, three hundred twelve million, one hundred forty-five thousand, nine hundred twenty".