16260553440 has 192 divisors, whose sum is σ = 57170534400. Its totient is φ = 4316447232.

The previous prime is 16260553433. The next prime is 16260553469. The reversal of 16260553440 is 4435506261.

16260553440 is a `hidden beast` number, since 1 + 6 + 2 + 60 + 553 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16260553395 and 16260553404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954921 + ... + 971799.

It is an arithmetic number, because the mean of its divisors is an integer number (297763200).

Almost surely, 2^16260553440 is an apocalyptic number.

16260553440 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 16260553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28585267200).

16260553440 is an abundant number, since it is smaller than the sum of its proper divisors (40909980960).

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

16260553440 is a wasteful number, since it uses less digits than its factorization.

16260553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17126 (or 17112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 16260553440 in words is "sixteen billion, two hundred sixty million, five hundred fifty-three thousand, four hundred forty".