8099748518400 has 4320 divisors, whose sum is σ = 40742203582080. Its totient is φ = 1494849945600.

The previous prime is 8099748518369. The next prime is 8099748518423. The reversal of 8099748518400 is 48158479908.

8099748518400 is a `hidden beast` number, since 8 + 0 + 9 + 9 + 74 + 8 + 518 + 40 + 0 = 666.

It is a super-2 number, since 2×8099748518400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 31516531072 + ... + 31516531328.

It is an arithmetic number, because the mean of its divisors is an integer number (9431065644).

Almost surely, 2^{8099748518400} is an apocalyptic number.

8099748518400 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 8099748518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20371101791040).

8099748518400 is an abundant number, since it is smaller than the sum of its proper divisors (32642455063680).

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

8099748518400 is a wasteful number, since it uses less digits than its factorization.

8099748518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 8099748518400 in words is "eight trillion, ninety-nine billion, seven hundred forty-eight million, five hundred eighteen thousand, four hundred".