970105260383280 has 3200 divisors, whose sum is σ = 4318445460848640. Its totient is φ = 196817402880000.

The previous prime is 970105260383251. The next prime is 970105260383293. The reversal of 970105260383280 is 82383062501079.

970105260383280 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 0 + 5 + 2 + 603 + 8 + 3 + 28 + 0 = 666.

It is a super-2 number, since 2×970105260383280² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 208579928955 + ... + 208579933605.

Almost surely, 2^{970105260383280} is an apocalyptic number.

970105260383280 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 970105260383280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159222730424320).

970105260383280 is an abundant number, since it is smaller than the sum of its proper divisors (3348340200465360).

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

970105260383280 is a wasteful number, since it uses less digits than its factorization.

970105260383280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 970105260383280 in words is "nine hundred seventy trillion, one hundred five billion, two hundred sixty million, three hundred eighty-three thousand, two hundred eighty".