13045779600 has 720 divisors, whose sum is σ = 53259019776. Its totient is φ = 2709504000.

The previous prime is 13045779599. The next prime is 13045779611. The reversal of 13045779600 is 697754031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30987390 + ... + 30987810.

Almost surely, 2^13045779600 is an apocalyptic number.

13045779600 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 13045779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629509888).

13045779600 is an abundant number, since it is smaller than the sum of its proper divisors (40213240176).

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

13045779600 is a wasteful number, since it uses less digits than its factorization.

13045779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 13045779600 in words is "thirteen billion, forty-five million, seven hundred seventy-nine thousand, six hundred".