960900857280 has 3584 divisors, whose sum is σ = 4763424153600. Its totient is φ = 176579149824.

The previous prime is 960900857239. The next prime is 960900857299. The reversal of 960900857280 is 82758009069.

It is a happy number.

960900857280 is a `hidden beast` number, since 9 + 60 + 9 + 0 + 0 + 8 + 572 + 8 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 14341803807 + ... + 14341803873.

It is an arithmetic number, because the mean of its divisors is an integer number (1329080400).

Almost surely, 2^960900857280 is an apocalyptic number.

960900857280 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 960900857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381712076800).

960900857280 is an abundant number, since it is smaller than the sum of its proper divisors (3802523296320).

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

960900857280 is a wasteful number, since it uses less digits than its factorization.

960900857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 960900857280 in words is "nine hundred sixty billion, nine hundred million, eight hundred fifty-seven thousand, two hundred eighty".