13977350150400 has 2160 divisors, whose sum is σ = 64135252414464. Its totient is φ = 2924592168960.

The previous prime is 13977350150377. The next prime is 13977350150453. The reversal of 13977350150400 is 405105377931.

13977350150400 is a `hidden beast` number, since 1 + 3 + 97 + 7 + 3 + 5 + 0 + 150 + 400 = 666.

13977350150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5991147634 + ... + 5991149966.

Almost surely, 2^{13977350150400} is an apocalyptic number.

13977350150400 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 13977350150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32067626207232).

13977350150400 is an abundant number, since it is smaller than the sum of its proper divisors (50157902264064).

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

13977350150400 is a wasteful number, since it uses less digits than its factorization.

13977350150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 13977350150400 in words is "thirteen trillion, nine hundred seventy-seven billion, three hundred fifty million, one hundred fifty thousand, four hundred".