13787456400 has 405 divisors, whose sum is σ = 50992090929. Its totient is φ = 3449329920.

The previous prime is 13787456393. The next prime is 13787456401. The reversal of 13787456400 is 465478731.

The square root of 13787456400 is 117420.

It is a perfect power (a square), and thus also a powerful number.

13787456400 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 4 + 564 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4963484304 + 8823972096 = 70452^2 + 93936^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13787456401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133858749 + ... + 133858851.

Almost surely, 2^13787456400 is an apocalyptic number.

13787456400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13787456400 is the 117420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13787456400

13787456400 is an abundant number, since it is smaller than the sum of its proper divisors (37204634529).

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

13787456400 is a wasteful number, since it uses less digits than its factorization.

13787456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13787456400 in words is "thirteen billion, seven hundred eighty-seven million, four hundred fifty-six thousand, four hundred".