10160616510 has 320 divisors, whose sum is σ = 32065735680. Its totient is φ = 2282100480.

The previous prime is 10160616469. The next prime is 10160616511. The reversal of 10160616510 is 1561606101.

10160616510 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 6 + 1 + 651 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160616511) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7955992 + ... + 7957268.

It is an arithmetic number, because the mean of its divisors is an integer number (100205424).

Almost surely, 2^10160616510 is an apocalyptic number.

10160616510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160616510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16032867840).

10160616510 is an abundant number, since it is smaller than the sum of its proper divisors (21905119170).

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

10160616510 is a wasteful number, since it uses less digits than its factorization.

10160616510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

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

The spelling of 10160616510 in words is "ten billion, one hundred sixty million, six hundred sixteen thousand, five hundred ten".