975926880000 has 720 divisors, whose sum is σ = 3652161559200. Its totient is φ = 260153856000.

The previous prime is 975926879927. The next prime is 975926880067. The reversal of 975926880000 is 88629579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349918606 + ... + 349921394.

It is an arithmetic number, because the mean of its divisors is an integer number (5072446610).

Almost surely, 2^975926880000 is an apocalyptic number.

975926880000 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 975926880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826080779600).

975926880000 is an abundant number, since it is smaller than the sum of its proper divisors (2676234679200).

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

975926880000 is an frugal number, since it uses more digits than its factorization.

975926880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2799 counting only the distinct ones).

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

The spelling of 975926880000 in words is "nine hundred seventy-five billion, nine hundred twenty-six million, eight hundred eighty thousand".