13778857110000 has 400 divisors, whose sum is σ = 45283777152768. Its totient is φ = 3608371200000.

The previous prime is 13778857109959. The next prime is 13778857110001. The reversal of 13778857110000 is 1175887731.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778857110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 547397415 + ... + 547422585.

Almost surely, 2^{13778857110000} is an apocalyptic number.

13778857110000 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 13778857110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22641888576384).

13778857110000 is an abundant number, since it is smaller than the sum of its proper divisors (31504920042768).

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

13778857110000 is a wasteful number, since it uses less digits than its factorization.

13778857110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530 (or 25509 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 48.

The spelling of 13778857110000 in words is "thirteen trillion, seven hundred seventy-eight billion, eight hundred fifty-seven million, one hundred ten thousand".