955125198720 has 2560 divisors, whose sum is σ = 4538380492800. Its totient is φ = 185608765440.

The previous prime is 955125198707. The next prime is 955125198763. The reversal of 955125198720 is 27891521559.

955125198720 is a `hidden beast` number, since 9 + 5 + 51 + 2 + 519 + 8 + 72 + 0 = 666.

It is a super-3 number, since 3×955125198720³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4283072529 + ... + 4283072751.

It is an arithmetic number, because the mean of its divisors is an integer number (1772804880).

Almost surely, 2^955125198720 is an apocalyptic number.

955125198720 is a gapful number since it is divisible by the number (90) 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 955125198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269190246400).

955125198720 is an abundant number, since it is smaller than the sum of its proper divisors (3583255294080).

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

955125198720 is a wasteful number, since it uses less digits than its factorization.

955125198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 955125198720 in words is "nine hundred fifty-five billion, one hundred twenty-five million, one hundred ninety-eight thousand, seven hundred twenty".