10016906515200 has 864 divisors, whose sum is σ = 39907503881280. Its totient is φ = 2443817779200.

The previous prime is 10016906515193. The next prime is 10016906515229. The reversal of 10016906515200 is 251560961001.

10016906515200 is a `hidden beast` number, since 10 + 0 + 1 + 69 + 0 + 65 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10016906515200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253823470 + ... + 253862930.

Almost surely, 2^{10016906515200} is an apocalyptic number.

10016906515200 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 10016906515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19953751940640).

10016906515200 is an abundant number, since it is smaller than the sum of its proper divisors (29890597366080).

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

10016906515200 is a wasteful number, since it uses less digits than its factorization.

10016906515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39622 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10016906515200 in words is "ten trillion, sixteen billion, nine hundred six million, five hundred fifteen thousand, two hundred".