20978272263060 has 384 divisors, whose sum is σ = 74803284864000. Its totient is φ = 4781299138560.

The previous prime is 20978272263059. The next prime is 20978272263089. The reversal of 20978272263060 is 6036227287902.

20978272263060 is a `hidden beast` number, since 2 + 0 + 97 + 8 + 27 + 226 + 306 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20978272262988 and 20978272263006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3654111790 + ... + 3654117530.

It is an arithmetic number, because the mean of its divisors is an integer number (194800221000).

Almost surely, 2^{20978272263060} is an apocalyptic number.

20978272263060 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 20978272263060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401642432000).

20978272263060 is an abundant number, since it is smaller than the sum of its proper divisors (53825012600940).

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

20978272263060 is a wasteful number, since it uses less digits than its factorization.

20978272263060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 20978272263060 in words is "twenty trillion, nine hundred seventy-eight billion, two hundred seventy-two million, two hundred sixty-three thousand, sixty".