20727786240 has 432 divisors, whose sum is σ = 82293696576. Its totient is φ = 4718592000.

The previous prime is 20727786227. The next prime is 20727786241. The reversal of 20727786240 is 4268772702.

It is a super-2 number, since 2×20727786240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20727786241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32336320 + ... + 32336960.

It is an arithmetic number, because the mean of its divisors is an integer number (190494668).

Almost surely, 2^20727786240 is an apocalyptic number.

20727786240 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 20727786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41146848288).

20727786240 is an abundant number, since it is smaller than the sum of its proper divisors (61565910336).

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

20727786240 is a wasteful number, since it uses less digits than its factorization.

20727786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 20727786240 in words is "twenty billion, seven hundred twenty-seven million, seven hundred eighty-six thousand, two hundred forty".