10165428720 has 240 divisors, whose sum is σ = 35648051712. Its totient is φ = 2692051200.

The previous prime is 10165428719. The next prime is 10165428733. The reversal of 10165428720 is 2782456101.

10165428720 is a `hidden beast` number, since 1 + 0 + 16 + 542 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10165428720² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2933709 + ... + 2937171.

Almost surely, 2^10165428720 is an apocalyptic number.

10165428720 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 10165428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824025856).

10165428720 is an abundant number, since it is smaller than the sum of its proper divisors (25482622992).

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

10165428720 is a wasteful number, since it uses less digits than its factorization.

10165428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10165428720 in words is "ten billion, one hundred sixty-five million, four hundred twenty-eight thousand, seven hundred twenty".