10016591760 has 960 divisors, whose sum is σ = 44884627200. Its totient is φ = 2034450432.

The previous prime is 10016591759. The next prime is 10016591771. The reversal of 10016591760 is 6719561001.

It is a happy number.

10016591760 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 6 + 591 + 7 + 60 = 666.

It is a super-2 number, since 2×10016591760² (a number of 21 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 34186174 + ... + 34186466.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^10016591760 is an apocalyptic number.

10016591760 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 10016591760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442313600).

10016591760 is an abundant number, since it is smaller than the sum of its proper divisors (34868035440).

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

10016591760 is a wasteful number, since it uses less digits than its factorization.

10016591760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10016591760 in words is "ten billion, sixteen million, five hundred ninety-one thousand, seven hundred sixty".