10461353886720 has 880 divisors, whose sum is σ = 41068184908608. Its totient is φ = 2535817052160.

The previous prime is 10461353886703. The next prime is 10461353886733. The reversal of 10461353886720 is 2768835316401.

10461353886720 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 3 + 538 + 86 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1108541842 + ... + 1108551278.

Almost surely, 2^{10461353886720} is an apocalyptic number.

10461353886720 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 10461353886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534092454304).

10461353886720 is an abundant number, since it is smaller than the sum of its proper divisors (30606831021888).

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

10461353886720 is an frugal number, since it uses more digits than its factorization.

10461353886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10461353886720 in words is "ten trillion, four hundred sixty-one billion, three hundred fifty-three million, eight hundred eighty-six thousand, seven hundred twenty".