13751251376400 has 90 divisors (see below), whose sum is σ = 47720662080650. Its totient is φ = 3667000366080.

The previous prime is 13751251376377. The next prime is 13751251376431. The reversal of 13751251376400 is 467315215731.

13751251376400 is a `hidden beast` number, since 1 + 3 + 75 + 1 + 2 + 513 + 7 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4792316426496 + 8958934949904 = 2189136^2 + 2993148^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1909892425 + ... + 1909899624.

Almost surely, 2^{13751251376400} is an apocalyptic number.

13751251376400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13751251376400 is an abundant number, since it is smaller than the sum of its proper divisors (33969410704250).

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

13751251376400 is a wasteful number, since it uses less digits than its factorization.

13751251376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819792073 (or 3819792059 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 13751251376400 in words is "thirteen trillion, seven hundred fifty-one billion, two hundred fifty-one million, three hundred seventy-six thousand, four hundred".