10000409852160 has 3456 divisors, whose sum is σ = 47855109120000. Its totient is φ = 1920298254336.

The previous prime is 10000409852149. The next prime is 10000409852203. The reversal of 10000409852160 is 6125890400001.

10000409852160 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 40 + 98 + 521 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×10000409852160² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50253315741 + ... + 50253315939.

Almost surely, 2^{10000409852160} is an apocalyptic number.

10000409852160 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 10000409852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927554560000).

10000409852160 is an abundant number, since it is smaller than the sum of its proper divisors (37854699267840).

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

10000409852160 is a wasteful number, since it uses less digits than its factorization.

10000409852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10000409852160 in words is "ten trillion, four hundred nine million, eight hundred fifty-two thousand, one hundred sixty".