20285157984 has 288 divisors, whose sum is σ = 67716262656. Its totient is φ = 5269017600.

The previous prime is 20285157941. The next prime is 20285158009. The reversal of 20285157984 is 48975158202.

It is a super-2 number, since 2×20285157984² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094709 + ... + 4099659.

It is an arithmetic number, because the mean of its divisors is an integer number (235125912).

Almost surely, 2^20285157984 is an apocalyptic number.

20285157984 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 20285157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858131328).

20285157984 is an abundant number, since it is smaller than the sum of its proper divisors (47431104672).

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

20285157984 is a wasteful number, since it uses less digits than its factorization.

20285157984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 20285157984 in words is "twenty billion, two hundred eighty-five million, one hundred fifty-seven thousand, nine hundred eighty-four".