13780331070 has 256 divisors, whose sum is σ = 40109230080. Its totient is φ = 2990489600.

The previous prime is 13780331029. The next prime is 13780331101. The reversal of 13780331070 is 7013308731.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 11550394 + ... + 11551586.

It is an arithmetic number, because the mean of its divisors is an integer number (156676680).

Almost surely, 2^13780331070 is an apocalyptic number.

13780331070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13780331070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20054615040).

13780331070 is an abundant number, since it is smaller than the sum of its proper divisors (26328899010).

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

13780331070 is a wasteful number, since it uses less digits than its factorization.

13780331070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 13780331070 in words is "thirteen billion, seven hundred eighty million, three hundred thirty-one thousand, seventy".