13872524451840 has 448 divisors, whose sum is σ = 50371103646720. Its totient is φ = 3620616929280.

The previous prime is 13872524451829. The next prime is 13872524451847. The reversal of 13872524451840 is 4815442527831.

13872524451840 is a `hidden beast` number, since 1 + 3 + 8 + 72 + 52 + 4 + 4 + 518 + 4 + 0 = 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 (13872524451847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51844795 + ... + 52111685.

Almost surely, 2^{13872524451840} is an apocalyptic number.

13872524451840 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 13872524451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185551823360).

13872524451840 is an abundant number, since it is smaller than the sum of its proper divisors (36498579194880).

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

13872524451840 is an equidigital number, since it uses as much as digits as its factorization.

13872524451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266978 (or 266948 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 13872524451840 in words is "thirteen trillion, eight hundred seventy-two billion, five hundred twenty-four million, four hundred fifty-one thousand, eight hundred forty".