955106601120 has 576 divisors, whose sum is σ = 4066206842880. Its totient is φ = 206818956288.

The previous prime is 955106601091. The next prime is 955106601121. The reversal of 955106601120 is 21106601559.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (955106601121) 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, 5078689 + ... + 5263391.

It is an arithmetic number, because the mean of its divisors is an integer number (7059386880).

Almost surely, 2^955106601120 is an apocalyptic number.

955106601120 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 955106601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033103421440).

955106601120 is an abundant number, since it is smaller than the sum of its proper divisors (3111100241760).

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

955106601120 is a wasteful number, since it uses less digits than its factorization.

955106601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184759 (or 184739 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 955106601120 in words is "nine hundred fifty-five billion, one hundred six million, six hundred one thousand, one hundred twenty".