8970095520 has 480 divisors, whose sum is σ = 33194810880. Its totient is φ = 2278471680.

The previous prime is 8970095461. The next prime is 8970095557. The reversal of 8970095520 is 255900798.

It is a happy number.

8970095520 is a `hidden beast` number, since 8 + 97 + 0 + 0 + 9 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8970095520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33345946 + ... + 33346214.

It is an arithmetic number, because the mean of its divisors is an integer number (69155856).

Almost surely, 2^8970095520 is an apocalyptic number.

8970095520 is a gapful number since it is divisible by the number (80) 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 8970095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597405440).

8970095520 is an abundant number, since it is smaller than the sum of its proper divisors (24224715360).

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

8970095520 is a wasteful number, since it uses less digits than its factorization.

8970095520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 8970095520 is about 94710.5882148348. The cubic root of 8970095520 is about 2077.7774212800. Note that the first 3 decimals are identical.

The spelling of 8970095520 in words is "eight billion, nine hundred seventy million, ninety-five thousand, five hundred twenty".