20949636977280 has 1536 divisors, whose sum is σ = 83348201664000. Its totient is φ = 4968332328960.

The previous prime is 20949636977257. The next prime is 20949636977303. The reversal of 20949636977280 is 8277963694902.

20949636977280 is a `hidden beast` number, since 2 + 0 + 9 + 496 + 3 + 69 + 7 + 72 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20949636977257) and next prime (20949636977303).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20949636977199 and 20949636977208.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19167096414 + ... + 19167097506.

It is an arithmetic number, because the mean of its divisors is an integer number (54263152125).

Almost surely, 2^{20949636977280} is an apocalyptic number.

20949636977280 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 20949636977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41674100832000).

20949636977280 is an abundant number, since it is smaller than the sum of its proper divisors (62398564686720).

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

20949636977280 is a wasteful number, since it uses less digits than its factorization.

20949636977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 20949636977280 in words is "twenty trillion, nine hundred forty-nine billion, six hundred thirty-six million, nine hundred seventy-seven thousand, two hundred eighty".