13770013824 has 128 divisors (see below), whose sum is σ = 46446556800. Its totient is φ = 3934282752.

The previous prime is 13770013813. The next prime is 13770013841. The reversal of 13770013824 is 42831007731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13770013824² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260407 + ... + 308790.

It is an arithmetic number, because the mean of its divisors is an integer number (362863725).

Almost surely, 2^13770013824 is an apocalyptic number.

13770013824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13770013824 is an abundant number, since it is smaller than the sum of its proper divisors (32676542976).

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

13770013824 is an equidigital number, since it uses as much as digits as its factorization.

13770013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569227 (or 569209 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13770013824 in words is "thirteen billion, seven hundred seventy million, thirteen thousand, eight hundred twenty-four".