13553951460 has 192 divisors, whose sum is σ = 44078211072. Its totient is φ = 3047975424.

The previous prime is 13553951459. The next prime is 13553951483. The reversal of 13553951460 is 6415935531.

13553951460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13553951460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10213317 + ... + 10214643.

It is an arithmetic number, because the mean of its divisors is an integer number (229574016).

Almost surely, 2^13553951460 is an apocalyptic number.

13553951460 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 13553951460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039105536).

13553951460 is an abundant number, since it is smaller than the sum of its proper divisors (30524259612).

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

13553951460 is a wasteful number, since it uses less digits than its factorization.

13553951460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 13553951460 in words is "thirteen billion, five hundred fifty-three million, nine hundred fifty-one thousand, four hundred sixty".