10461195360 has 720 divisors, whose sum is σ = 46426631328. Its totient is φ = 2171473920.

The previous prime is 10461195341. The next prime is 10461195373. The reversal of 10461195360 is 6359116401.

10461195360 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 119 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 10976644 + ... + 10977596.

Almost surely, 2^10461195360 is an apocalyptic number.

10461195360 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 10461195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213315664).

10461195360 is an abundant number, since it is smaller than the sum of its proper divisors (35965435968).

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

10461195360 is a wasteful number, since it uses less digits than its factorization.

10461195360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 981 counting only the distinct ones).

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

The spelling of 10461195360 in words is "ten billion, four hundred sixty-one million, one hundred ninety-five thousand, three hundred sixty".