10613419891200 has 2400 divisors, whose sum is σ = 46680886517760. Its totient is φ = 2331257241600.

The previous prime is 10613419891177. The next prime is 10613419891219. The reversal of 10613419891200 is 219891431601.

10613419891200 is a `hidden beast` number, since 1 + 0 + 613 + 4 + 1 + 9 + 8 + 9 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×10613419891200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22157452561 + ... + 22157453039.

Almost surely, 2^{10613419891200} is an apocalyptic number.

10613419891200 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 10613419891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340443258880).

10613419891200 is an abundant number, since it is smaller than the sum of its proper divisors (36067466626560).

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

10613419891200 is an equidigital number, since it uses as much as digits as its factorization.

10613419891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 10613419891200 in words is "ten trillion, six hundred thirteen billion, four hundred nineteen million, eight hundred ninety-one thousand, two hundred".