13780513824 has 576 divisors, whose sum is σ = 48450576384. Its totient is φ = 3415104000.

The previous prime is 13780513823. The next prime is 13780513861. The reversal of 13780513824 is 42831508731.

It is a super-2 number, since 2×13780513824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780513823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194091709 + ... + 194091779.

It is an arithmetic number, because the mean of its divisors is an integer number (84115584).

Almost surely, 2^13780513824 is an apocalyptic number.

13780513824 is a gapful number since it is divisible by the number (14) 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 13780513824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24225288192).

13780513824 is an abundant number, since it is smaller than the sum of its proper divisors (34670062560).

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

13780513824 is a wasteful number, since it uses less digits than its factorization.

13780513824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13780513824 in words is "thirteen billion, seven hundred eighty million, five hundred thirteen thousand, eight hundred twenty-four".