20887414488000 has 1792 divisors, whose sum is σ = 83520037785600. Its totient is φ = 5094590054400.

The previous prime is 20887414487987. The next prime is 20887414488049. The reversal of 20887414488000 is 88441478802.

20887414488000 is a `hidden beast` number, since 2 + 0 + 8 + 87 + 41 + 448 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16280135359 + ... + 16280136641.

Almost surely, 2^{20887414488000} is an apocalyptic number.

20887414488000 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 20887414488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41760018892800).

20887414488000 is an abundant number, since it is smaller than the sum of its proper divisors (62632623297600).

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

20887414488000 is a wasteful number, since it uses less digits than its factorization.

20887414488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 20887414488000 in words is "twenty trillion, eight hundred eighty-seven billion, four hundred fourteen million, four hundred eighty-eight thousand".