13901151700800 has 4704 divisors, whose sum is σ = 68128705317120. Its totient is φ = 2708884684800.

The previous prime is 13901151700729. The next prime is 13901151700831. The reversal of 13901151700800 is 800715110931.

13901151700800 is a `hidden beast` number, since 139 + 0 + 1 + 1 + 517 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 123019041544 + ... + 123019041656.

Almost surely, 2^{13901151700800} is an apocalyptic number.

13901151700800 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 13901151700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34064352658560).

13901151700800 is an abundant number, since it is smaller than the sum of its proper divisors (54227553616320).

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

13901151700800 is a wasteful number, since it uses less digits than its factorization.

13901151700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 13901151700800 in words is "thirteen trillion, nine hundred one billion, one hundred fifty-one million, seven hundred thousand, eight hundred".