16313955840 has 960 divisors, whose sum is σ = 72067387392. Its totient is φ = 3317760000.

The previous prime is 16313955781. The next prime is 16313955841. The reversal of 16313955840 is 4855931361.

16313955840 is a `hidden beast` number, since 1 + 6 + 31 + 39 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×16313955840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16313955841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995715 + ... + 64995965.

Almost surely, 2^16313955840 is an apocalyptic number.

16313955840 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 16313955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033693696).

16313955840 is an abundant number, since it is smaller than the sum of its proper divisors (55753431552).

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

16313955840 is a wasteful number, since it uses less digits than its factorization.

16313955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 16313955840 in words is "sixteen billion, three hundred thirteen million, nine hundred fifty-five thousand, eight hundred forty".