13896870624 has 576 divisors, whose sum is σ = 51778621440. Its totient is φ = 3568250880.

The previous prime is 13896870607. The next prime is 13896870629. The reversal of 13896870624 is 42607869831.

13896870624 = T₉₆₉₇ + T₉₆₉₈ + ... + T₉₉₈₃.

13896870624 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 6 + 8 + 7 + 0 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13896870629) 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, 29012017 + ... + 29012495.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440).

Almost surely, 2^13896870624 is an apocalyptic number.

13896870624 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 13896870624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25889310720).

13896870624 is an abundant number, since it is smaller than the sum of its proper divisors (37881750816).

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

13896870624 is a wasteful number, since it uses less digits than its factorization.

13896870624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13896870624 in words is "thirteen billion, eight hundred ninety-six million, eight hundred seventy thousand, six hundred twenty-four".