20151455760 has 240 divisors, whose sum is σ = 70418350080. Its totient is φ = 5158702080.

The previous prime is 20151455749. The next prime is 20151455777. The reversal of 20151455760 is 6755415102.

20151455760 is a `hidden beast` number, since 20 + 1 + 514 + 55 + 76 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2831086 + ... + 2838194.

It is an arithmetic number, because the mean of its divisors is an integer number (293409792).

Almost surely, 2^20151455760 is an apocalyptic number.

20151455760 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 20151455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35209175040).

20151455760 is an abundant number, since it is smaller than the sum of its proper divisors (50266894320).

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

20151455760 is a wasteful number, since it uses less digits than its factorization.

20151455760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 20151455760 in words is "twenty billion, one hundred fifty-one million, four hundred fifty-five thousand, seven hundred sixty".