10165613472 has 288 divisors, whose sum is σ = 35630824320. Its totient is φ = 2684067840.

The previous prime is 10165613443. The next prime is 10165613473. The reversal of 10165613472 is 27431656101.

10165613472 is a `hidden beast` number, since 10 + 16 + 561 + 3 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (10165613473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567228 + ... + 1573700.

It is an arithmetic number, because the mean of its divisors is an integer number (123718140).

Almost surely, 2^10165613472 is an apocalyptic number.

10165613472 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 10165613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815412160).

10165613472 is an abundant number, since it is smaller than the sum of its proper divisors (25465210848).

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

10165613472 is a wasteful number, since it uses less digits than its factorization.

10165613472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10165613472 in words is "ten billion, one hundred sixty-five million, six hundred thirteen thousand, four hundred seventy-two".