970776576000 has 2720 divisors, whose sum is σ = 4750264696320. Its totient is φ = 191102976000.

The previous prime is 970776575987. The next prime is 970776576043. The reversal of 970776576000 is 675677079.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51093503991 + ... + 51093504009.

Almost surely, 2^970776576000 is an apocalyptic number.

970776576000 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 970776576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375132348160).

970776576000 is an abundant number, since it is smaller than the sum of its proper divisors (3779488120320).

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

970776576000 is an equidigital number, since it uses as much as digits as its factorization.

970776576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 970776576000 in words is "nine hundred seventy billion, seven hundred seventy-six million, five hundred seventy-six thousand".