16415021952 has 480 divisors, whose sum is σ = 57686508000. Its totient is φ = 4619317248.

The previous prime is 16415021923. The next prime is 16415021957. The reversal of 16415021952 is 25912051461.

16415021952 is a `hidden beast` number, since 1 + 64 + 1 + 502 + 1 + 95 + 2 = 666.

It is a super-3 number, since 3×16415021952³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16415021957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40134324 + ... + 40134732.

It is an arithmetic number, because the mean of its divisors is an integer number (120180225).

Almost surely, 2^16415021952 is an apocalyptic number.

16415021952 is a gapful number since it is divisible by the number (12) 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 16415021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28843254000).

16415021952 is an abundant number, since it is smaller than the sum of its proper divisors (41271486048).

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

16415021952 is an equidigital number, since it uses as much as digits as its factorization.

16415021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 16415021952 in words is "sixteen billion, four hundred fifteen million, twenty-one thousand, nine hundred fifty-two".