20987969184 has 768 divisors, whose sum is σ = 79478784000. Its totient is φ = 5240401920.

The previous prime is 20987969179. The next prime is 20987969203. The reversal of 20987969184 is 48196978902.

It is a super-5 number, since 5×20987969184⁵ (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 192550122 + ... + 192550230.

It is an arithmetic number, because the mean of its divisors is an integer number (103488000).

Almost surely, 2^20987969184 is an apocalyptic number.

20987969184 is a gapful number since it is divisible by the number (24) 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 20987969184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39739392000).

20987969184 is an abundant number, since it is smaller than the sum of its proper divisors (58490814816).

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

20987969184 is a wasteful number, since it uses less digits than its factorization.

20987969184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 20987969184 in words is "twenty billion, nine hundred eighty-seven million, nine hundred sixty-nine thousand, one hundred eighty-four".