13264776000 has 896 divisors, whose sum is σ = 57616465920. Its totient is φ = 2923776000.

The previous prime is 13264775981. The next prime is 13264776013. The reversal of 13264776000 is 67746231.

13264776000 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 47 + 7 + 600 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 46871859 + ... + 46872141.

Almost surely, 2^13264776000 is an apocalyptic number.

13264776000 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 13264776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808232960).

13264776000 is an abundant number, since it is smaller than the sum of its proper divisors (44351689920).

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

13264776000 is a wasteful number, since it uses less digits than its factorization.

13264776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13264776000 in words is "thirteen billion, two hundred sixty-four million, seven hundred seventy-six thousand".