20540079360 has 288 divisors, whose sum is σ = 74863380480. Its totient is φ = 5328986112.

The previous prime is 20540079353. The next prime is 20540079379. The reversal of 20540079360 is 6397004502.

20540079360 is a `hidden beast` number, since 20 + 540 + 0 + 7 + 93 + 6 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1270689 + ... + 1286751.

Almost surely, 2^20540079360 is an apocalyptic number.

20540079360 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 20540079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37431690240).

20540079360 is an abundant number, since it is smaller than the sum of its proper divisors (54323301120).

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

20540079360 is a wasteful number, since it uses less digits than its factorization.

20540079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20540079360 in words is "twenty billion, five hundred forty million, seventy-nine thousand, three hundred sixty".