16400914560 has 512 divisors, whose sum is σ = 63522662400. Its totient is φ = 3981312000.

The previous prime is 16400914553. The next prime is 16400914567. The reversal of 16400914560 is 6541900461.

16400914560 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 91 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16400914553) and next prime (16400914567).

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

It is not an unprimeable number, because it can be changed into a prime (16400914567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9105660 + ... + 9107460.

It is an arithmetic number, because the mean of its divisors is an integer number (124067700).

Almost surely, 2^16400914560 is an apocalyptic number.

16400914560 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 16400914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31761331200).

16400914560 is an abundant number, since it is smaller than the sum of its proper divisors (47121747840).

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

16400914560 is a wasteful number, since it uses less digits than its factorization.

16400914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16400914560 in words is "sixteen billion, four hundred million, nine hundred fourteen thousand, five hundred sixty".