13789630800 has 720 divisors, whose sum is σ = 55265034240. Its totient is φ = 3153024000.

The previous prime is 13789630787. The next prime is 13789630823. The reversal of 13789630800 is 803698731.

It is a happy number.

13789630800 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 630 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57697081 + ... + 57697319.

It is an arithmetic number, because the mean of its divisors is an integer number (76756992).

Almost surely, 2^13789630800 is an apocalyptic number.

13789630800 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 13789630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632517120).

13789630800 is an abundant number, since it is smaller than the sum of its proper divisors (41475403440).

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

13789630800 is a wasteful number, since it uses less digits than its factorization.

13789630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13789630800 in words is "thirteen billion, seven hundred eighty-nine million, six hundred thirty thousand, eight hundred".