16121039616 has 648 divisors, whose sum is σ = 56385358848. Its totient is φ = 4386816000.

The previous prime is 16121039603. The next prime is 16121039629. The reversal of 16121039616 is 61693012161.

16121039616 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 1 + 0 + 39 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (16121039603) and next prime (16121039629).

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

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 71 ways as a sum of consecutive naturals, for example, 227056861 + ... + 227056931.

Almost surely, 2^16121039616 is an apocalyptic number.

16121039616 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 16121039616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192679424).

16121039616 is an abundant number, since it is smaller than the sum of its proper divisors (40264319232).

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

16121039616 is a wasteful number, since it uses less digits than its factorization.

16121039616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 16121039616 in words is "sixteen billion, one hundred twenty-one million, thirty-nine thousand, six hundred sixteen".