20165274360 has 576 divisors, whose sum is σ = 84387925440. Its totient is φ = 4085452800.

The previous prime is 20165274347. The next prime is 20165274373. The reversal of 20165274360 is 6347256102.

20165274360 is a `hidden beast` number, since 20 + 1 + 6 + 5 + 274 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (20165274347) and next prime (20165274373).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12500914 + ... + 12502526.

It is an arithmetic number, because the mean of its divisors is an integer number (146506815).

Almost surely, 2^20165274360 is an apocalyptic number.

20165274360 is a gapful number since it is divisible by the number (20) 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 20165274360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42193962720).

20165274360 is an abundant number, since it is smaller than the sum of its proper divisors (64222651080).

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

20165274360 is a wasteful number, since it uses less digits than its factorization.

20165274360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 2016 and 5274360, that added together give a triangular number (5276376 = T₃₂₄₈).

The spelling of 20165274360 in words is "twenty billion, one hundred sixty-five million, two hundred seventy-four thousand, three hundred sixty".