625131885470400 has 3360 divisors, whose sum is σ = 3038381713838592. Its totient is φ = 122053489459200.

The previous prime is 625131885470387. The next prime is 625131885470413. The reversal of 625131885470400 is 4074588131526.

It is a happy number.

625131885470400 is a `hidden beast` number, since 6 + 2 + 5 + 1 + 3 + 188 + 54 + 7 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (625131885470387) and next prime (625131885470413).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 114850610079 + ... + 114850615521.

Almost surely, 2^{625131885470400} is an apocalyptic number.

625131885470400 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 625131885470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519190856919296).

625131885470400 is an abundant number, since it is smaller than the sum of its proper divisors (2413249828368192).

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

625131885470400 is a wasteful number, since it uses less digits than its factorization.

625131885470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 625131885470400 in words is "six hundred twenty-five trillion, one hundred thirty-one billion, eight hundred eighty-five million, four hundred seventy thousand, four hundred".