13785099264000 has 1792 divisors, whose sum is σ = 54615312460800. Its totient is φ = 3418619904000.

The previous prime is 13785099263993. The next prime is 13785099264031. The reversal of 13785099264000 is 46299058731.

13785099264000 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 509 + 92 + 6 + 40 + 0 + 0 = 666.

It is a super-4 number, since 4×13785099264000⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 65332223895 + ... + 65332224105.

It is an arithmetic number, because the mean of its divisors is an integer number (30477294900).

It is a 1-persistent number, because it is pandigital, but 2⋅13785099264000 = 27570198528000 is not.

Almost surely, 2^{13785099264000} is an apocalyptic number.

13785099264000 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 13785099264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307656230400).

13785099264000 is an abundant number, since it is smaller than the sum of its proper divisors (40830213196800).

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

13785099264000 is a wasteful number, since it uses less digits than its factorization.

13785099264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13785099264000 in words is "thirteen trillion, seven hundred eighty-five billion, ninety-nine million, two hundred sixty-four thousand".