13995978084000 has 1152 divisors, whose sum is σ = 56278500655104. Its totient is φ = 3263374080000.

The previous prime is 13995978083993. The next prime is 13995978084037. The reversal of 13995978084000 is 48087959931.

13995978084000 is a `hidden beast` number, since 1 + 39 + 9 + 597 + 8 + 0 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13995978084000² (a number of 27 digits) contains 22 as substring.

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, 2050088587 + ... + 2050095413.

It is an arithmetic number, because the mean of its divisors is an integer number (48852865152).

Almost surely, 2^{13995978084000} is an apocalyptic number.

13995978084000 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 13995978084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139250327552).

13995978084000 is an abundant number, since it is smaller than the sum of its proper divisors (42282522571104).

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

13995978084000 is a wasteful number, since it uses less digits than its factorization.

13995978084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 13995978084000 in words is "thirteen trillion, nine hundred ninety-five billion, nine hundred seventy-eight million, eighty-four thousand".