13096890777600 has 900 divisors, whose sum is σ = 55450648837584. Its totient is φ = 2993521950720.

The previous prime is 13096890777587. The next prime is 13096890777721. The reversal of 13096890777600 is 677709869031.

13096890777600 is a `hidden beast` number, since 13 + 0 + 9 + 6 + 8 + 9 + 0 + 7 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232215004 + ... + 232271396.

Almost surely, 2^{13096890777600} is an apocalyptic number.

13096890777600 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 13096890777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27725324418792).

13096890777600 is an abundant number, since it is smaller than the sum of its proper divisors (42353758059984).

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

13096890777600 is an frugal number, since it uses more digits than its factorization.

13096890777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56450 (or 56410 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 13096890777600 in words is "thirteen trillion, ninety-six billion, eight hundred ninety million, seven hundred seventy-seven thousand, six hundred".