16379153856 has 280 divisors, whose sum is σ = 52510883040. Its totient is φ = 5018277888.

The previous prime is 16379153839. The next prime is 16379153881. The reversal of 16379153856 is 65835197361.

16379153856 is a `hidden beast` number, since 16 + 3 + 7 + 91 + 538 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24193390 + ... + 24194066.

It is an arithmetic number, because the mean of its divisors is an integer number (187538868).

Almost surely, 2^16379153856 is an apocalyptic number.

16379153856 is a gapful number since it is divisible by the number (16) 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 16379153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26255441520).

16379153856 is an abundant number, since it is smaller than the sum of its proper divisors (36131729184).

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

16379153856 is a wasteful number, since it uses less digits than its factorization.

16379153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1054 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 16379153856 in words is "sixteen billion, three hundred seventy-nine million, one hundred fifty-three thousand, eight hundred fifty-six".