8249915520 has 1152 divisors, whose sum is σ = 38093328000. Its totient is φ = 1605795840.

The previous prime is 8249915519. The next prime is 8249915521. The reversal of 8249915520 is 255199428.

It is a happy number.

8249915520 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 91 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8249915519) and next prime (8249915521).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×8249915520² (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 not an unprimeable number, because it can be changed into a prime (8249915521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92695636 + ... + 92695724.

It is an arithmetic number, because the mean of its divisors is an integer number (33067125).

Almost surely, 2^8249915520 is an apocalyptic number.

8249915520 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 8249915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664000).

8249915520 is an abundant number, since it is smaller than the sum of its proper divisors (29843412480).

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

8249915520 is a wasteful number, since it uses less digits than its factorization.

8249915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 8249915520 is about 90829.0455746398. The cubic root of 8249915520 is about 2020.6131132379.

The spelling of 8249915520 in words is "eight billion, two hundred forty-nine million, nine hundred fifteen thousand, five hundred twenty".