20311378560 has 768 divisors, whose sum is σ = 82121195520. Its totient is φ = 4752691200.

The previous prime is 20311378553. The next prime is 20311378579. The reversal of 20311378560 is 6587311302.

20311378560 is a `hidden beast` number, since 20 + 3 + 1 + 1 + 3 + 78 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 53032129 + ... + 53032511.

It is an arithmetic number, because the mean of its divisors is an integer number (106928640).

Almost surely, 2^20311378560 is an apocalyptic number.

20311378560 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 20311378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41060597760).

20311378560 is an abundant number, since it is smaller than the sum of its proper divisors (61809816960).

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

20311378560 is a wasteful number, since it uses less digits than its factorization.

20311378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 20311378560 its reverse (6587311302), we get a palindrome (26898689862).

The spelling of 20311378560 in words is "twenty billion, three hundred eleven million, three hundred seventy-eight thousand, five hundred sixty".