970027948753920 has 3520 divisors, whose sum is σ = 4307765963212800. Its totient is φ = 207919273476096.

The previous prime is 970027948753907. The next prime is 970027948753973. The reversal of 970027948753920 is 29357849720079.

970027948753920 is a `hidden beast` number, since 9 + 7 + 0 + 0 + 2 + 7 + 9 + 4 + 87 + 539 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 887491260894 + ... + 887491261986.

It is an arithmetic number, because the mean of its divisors is an integer number (1223797148640).

Almost surely, 2^{970027948753920} is an apocalyptic number.

970027948753920 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 970027948753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153882981606400).

970027948753920 is an abundant number, since it is smaller than the sum of its proper divisors (3337738014458880).

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

970027948753920 is a wasteful number, since it uses less digits than its factorization.

970027948753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 970027948753920 in words is "nine hundred seventy trillion, twenty-seven billion, nine hundred forty-eight million, seven hundred fifty-three thousand, nine hundred twenty".