625249911132000 has 4608 divisors, whose sum is σ = 2993475176939520. Its totient is φ = 125219727360000.

The previous prime is 625249911131977. The next prime is 625249911132071. The reversal of 625249911132000 is 231119942526.

It is a happy number.

625249911132000 is a `hidden beast` number, since 6 + 2 + 5 + 249 + 91 + 113 + 200 + 0 = 666.

It is a super-3 number, since 3×625249911132000³ (a number of 45 digits) contains 333 as substring.

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 767 ways as a sum of consecutive naturals, for example, 572049323454 + ... + 572049324546.

It is an arithmetic number, because the mean of its divisors is an integer number (649625689440).

Almost surely, 2^{625249911132000} is an apocalyptic number.

625249911132000 is a gapful number since it is divisible by the number (60) 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 625249911132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496737588469760).

625249911132000 is an abundant number, since it is smaller than the sum of its proper divisors (2368225265807520).

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

625249911132000 is a wasteful number, since it uses less digits than its factorization.

625249911132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 625249911132000 in words is "six hundred twenty-five trillion, two hundred forty-nine billion, nine hundred eleven million, one hundred thirty-two thousand".