13077372000 has 384 divisors, whose sum is σ = 53416516608. Its totient is φ = 2717184000.

The previous prime is 13077371971. The next prime is 13077372023. The reversal of 13077372000 is 27377031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916924 + ... + 931076.

It is an arithmetic number, because the mean of its divisors is an integer number (139105512).

Almost surely, 2^13077372000 is an apocalyptic number.

13077372000 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 13077372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26708258304).

13077372000 is an abundant number, since it is smaller than the sum of its proper divisors (40339144608).

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

13077372000 is a wasteful number, since it uses less digits than its factorization.

13077372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14199 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 30.

The spelling of 13077372000 in words is "thirteen billion, seventy-seven million, three hundred seventy-two thousand".