13748612800 has 252 divisors, whose sum is σ = 38471923056. Its totient is φ = 4806604800.

The previous prime is 13748612797. The next prime is 13748612803. The reversal of 13748612800 is 821684731.

It is an interprime number because it is at equal distance from previous prime (13748612797) and next prime (13748612803).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13748612803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7507885 + ... + 7509715.

Almost surely, 2^13748612800 is an apocalyptic number.

13748612800 is a gapful number since it is divisible by the number (10) 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 13748612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19235961528).

13748612800 is an abundant number, since it is smaller than the sum of its proper divisors (24723310256).

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

13748612800 is a wasteful number, since it uses less digits than its factorization.

13748612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 13748612800 in words is "thirteen billion, seven hundred forty-eight million, six hundred twelve thousand, eight hundred".