20874950553600 has 2496 divisors, whose sum is σ = 92593328647680. Its totient is φ = 4541880729600.

The previous prime is 20874950553533. The next prime is 20874950553601. The reversal of 20874950553600 is 635505947802.

20874950553600 is a `hidden beast` number, since 2 + 0 + 8 + 74 + 9 + 505 + 5 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is not an unprimeable number, because it can be changed into a prime (20874950553601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14628556087 + ... + 14628557513.

Almost surely, 2^{20874950553600} is an apocalyptic number.

20874950553600 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 20874950553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46296664323840).

20874950553600 is an abundant number, since it is smaller than the sum of its proper divisors (71718378094080).

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

20874950553600 is a wasteful number, since it uses less digits than its factorization.

20874950553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 20874950553600 in words is "twenty trillion, eight hundred seventy-four billion, nine hundred fifty million, five hundred fifty-three thousand, six hundred".