10161787149360 has 480 divisors, whose sum is σ = 42937904655360. Its totient is φ = 2092167014400.

The previous prime is 10161787149313. The next prime is 10161787149379. The reversal of 10161787149360 is 6394178716101.

10161787149360 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 17 + 87 + 1 + 493 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10161787149297 and 10161787149306.

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, 5202165 + ... + 6883755.

It is an arithmetic number, because the mean of its divisors is an integer number (89453968032).

Almost surely, 2^{10161787149360} is an apocalyptic number.

10161787149360 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 10161787149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468952327680).

10161787149360 is an abundant number, since it is smaller than the sum of its proper divisors (32776117506000).

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

10161787149360 is a wasteful number, since it uses less digits than its factorization.

10161787149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681737 (or 1681728 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10161787149360 in words is "ten trillion, one hundred sixty-one billion, seven hundred eighty-seven million, one hundred forty-nine thousand, three hundred sixty".