20151960192 has 960 divisors, whose sum is σ = 78056732160. Its totient is φ = 5046312960.

The previous prime is 20151960131. The next prime is 20151960193. The reversal of 20151960192 is 29106915102.

20151960192 is a `hidden beast` number, since 20 + 15 + 19 + 601 + 9 + 2 = 666.

It is a super-2 number, since 2×20151960192² (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 not an unprimeable number, because it can be changed into a prime (20151960193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 380225638 + ... + 380225690.

It is an arithmetic number, because the mean of its divisors is an integer number (81309096).

Almost surely, 2^20151960192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028366080).

20151960192 is an abundant number, since it is smaller than the sum of its proper divisors (57904771968).

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

20151960192 is a wasteful number, since it uses less digits than its factorization.

20151960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 20151960192 in words is "twenty billion, one hundred fifty-one million, nine hundred sixty thousand, one hundred ninety-two".