13779790583832 has 2048 divisors, whose sum is σ = 53451546624000. Its totient is φ = 3186164367360.

The previous prime is 13779790583831. The next prime is 13779790583957. The reversal of 13779790583832 is 23838509797731.

13779790583832 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 7 + 9 + 0 + 583 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13779790583831) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 60173757894 + ... + 60173758122.

It is an arithmetic number, because the mean of its divisors is an integer number (26099388000).

Almost surely, 2^{13779790583832} is an apocalyptic number.

13779790583832 is a gapful number since it is divisible by the number (12) 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 13779790583832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725773312000).

13779790583832 is an abundant number, since it is smaller than the sum of its proper divisors (39671756040168).

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

13779790583832 is a wasteful number, since it uses less digits than its factorization.

13779790583832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 13779790583832 in words is "thirteen trillion, seven hundred seventy-nine billion, seven hundred ninety million, five hundred eighty-three thousand, eight hundred thirty-two".