916005970880 has 1344 divisors, whose sum is σ = 3138255912960. Its totient is φ = 247292559360.

The previous prime is 916005970861. The next prime is 916005970883. The reversal of 916005970880 is 88079500619.

It is a super-2 number, since 2×916005970880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916005970883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7212645377 + ... + 7212645503.

It is an arithmetic number, because the mean of its divisors is an integer number (2335011840).

Almost surely, 2^916005970880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916005970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569127956480).

916005970880 is an abundant number, since it is smaller than the sum of its proper divisors (2222249942080).

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

916005970880 is a wasteful number, since it uses less digits than its factorization.

916005970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 916005970880 in words is "nine hundred sixteen billion, five million, nine hundred seventy thousand, eight hundred eighty".