10099520640 has 640 divisors, whose sum is σ = 39988080000. Its totient is φ = 2408693760.

The previous prime is 10099520617. The next prime is 10099520663. The reversal of 10099520640 is 4602599001.

10099520640 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 5 + 2 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (10099520617) and next prime (10099520663).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10099520595 and 10099520604.

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, 50751261 + ... + 50751459.

It is an arithmetic number, because the mean of its divisors is an integer number (62481375).

Almost surely, 2^10099520640 is an apocalyptic number.

10099520640 is a gapful number since it is divisible by the number (10) 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 10099520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994040000).

10099520640 is an abundant number, since it is smaller than the sum of its proper divisors (29888559360).

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

10099520640 is a wasteful number, since it uses less digits than its factorization.

10099520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10099520640 in words is "ten billion, ninety-nine million, five hundred twenty thousand, six hundred forty".