13751978150400 has 1920 divisors, whose sum is σ = 57153397948416. Its totient is φ = 2842479820800.

The previous prime is 13751978150377. The next prime is 13751978150411. The reversal of 13751978150400 is 405187915731.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27339916549 + ... + 27339917051.

Almost surely, 2^{13751978150400} is an apocalyptic number.

13751978150400 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 13751978150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576698974208).

13751978150400 is an abundant number, since it is smaller than the sum of its proper divisors (43401419798016).

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

13751978150400 is a wasteful number, since it uses less digits than its factorization.

13751978150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 13751978150400 in words is "thirteen trillion, seven hundred fifty-one billion, nine hundred seventy-eight million, one hundred fifty thousand, four hundred".