13770372000 has 576 divisors, whose sum is σ = 57274439040. Its totient is φ = 2860032000.

The previous prime is 13770371969. The next prime is 13770372023. The reversal of 13770372000 is 27307731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6466936 + ... + 6469064.

It is an arithmetic number, because the mean of its divisors is an integer number (99434790).

Almost surely, 2^13770372000 is an apocalyptic number.

13770372000 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 13770372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637219520).

13770372000 is an abundant number, since it is smaller than the sum of its proper divisors (43504067040).

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

13770372000 is a wasteful number, since it uses less digits than its factorization.

13770372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2157 counting only the distinct ones).

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

Adding to 13770372000 its reverse (27307731), we get a palindrome (13797679731).

The spelling of 13770372000 in words is "thirteen billion, seven hundred seventy million, three hundred seventy-two thousand".