625874835165888 has 672 divisors, whose sum is σ = 2230220978500608. Its totient is φ = 152647072972800.

The previous prime is 625874835165887. The next prime is 625874835165929. The reversal of 625874835165888 is 888561538478526.

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 (84).

It is a self number, because there is not a number n which added to its sum of digits gives 625874835165888.

It is not an unprimeable number, because it can be changed into a prime (625874835165887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 757843870 + ... + 758669282.

Almost surely, 2^{625874835165888} is an apocalyptic number.

625874835165888 is a gapful number since it is divisible by the number (68) 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 625874835165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115110489250304).

625874835165888 is an abundant number, since it is smaller than the sum of its proper divisors (1604346143334720).

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

625874835165888 is a wasteful number, since it uses less digits than its factorization.

625874835165888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825901 (or 825884 counting only the distinct ones).

The product of its digits is 24772608000, while the sum is 84.

The spelling of 625874835165888 in words is "six hundred twenty-five trillion, eight hundred seventy-four billion, eight hundred thirty-five million, one hundred sixty-five thousand, eight hundred eighty-eight".