13950084123720 has 512 divisors, whose sum is σ = 49354099200000. Its totient is φ = 3495021115392.

The previous prime is 13950084123719. The next prime is 13950084123737. The reversal of 13950084123720 is 2732148005931.

It is a happy number.

13950084123720 is a `hidden beast` number, since 1 + 3 + 9 + 500 + 84 + 12 + 37 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3932922987 + ... + 3932926533.

It is an arithmetic number, because the mean of its divisors is an integer number (96394725000).

Almost surely, 2^{13950084123720} is an apocalyptic number.

13950084123720 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 13950084123720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24677049600000).

13950084123720 is an abundant number, since it is smaller than the sum of its proper divisors (35404015076280).

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

13950084123720 is a wasteful number, since it uses less digits than its factorization.

13950084123720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13950084123720 in words is "thirteen trillion, nine hundred fifty billion, eighty-four million, one hundred twenty-three thousand, seven hundred twenty".