10616016001500 has 1152 divisors, whose sum is σ = 43813035302400. Its totient is φ = 2099898777600.

The previous prime is 10616016001469. The next prime is 10616016001519. The reversal of 10616016001500 is 510061061601.

10616016001500 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 0 + 1 + 600 + 1 + 50 + 0 = 666.

It is a super-2 number, since 2×10616016001500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1872640666 + ... + 1872646334.

It is an arithmetic number, because the mean of its divisors is an integer number (38032148700).

Almost surely, 2^{10616016001500} is an apocalyptic number.

10616016001500 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 10616016001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21906517651200).

10616016001500 is an abundant number, since it is smaller than the sum of its proper divisors (33197019300900).

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

10616016001500 is a wasteful number, since it uses less digits than its factorization.

10616016001500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10616016001500 in words is "ten trillion, six hundred sixteen billion, sixteen million, one thousand, five hundred".