13551240387840 has 576 divisors, whose sum is σ = 47509154042112. Its totient is φ = 3278110720000.

The previous prime is 13551240387829. The next prime is 13551240387863. The reversal of 13551240387840 is 4878304215531.

It is a super-2 number, since 2×13551240387840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222117340 + ... + 222178340.

It is an arithmetic number, because the mean of its divisors is an integer number (82481170212).

Almost surely, 2^{13551240387840} is an apocalyptic number.

13551240387840 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 13551240387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23754577021056).

13551240387840 is an abundant number, since it is smaller than the sum of its proper divisors (33957913654272).

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

13551240387840 is a wasteful number, since it uses less digits than its factorization.

13551240387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61166 (or 61152 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 13551240387840 in words is "thirteen trillion, five hundred fifty-one billion, two hundred forty million, three hundred eighty-seven thousand, eight hundred forty".