20948258304 has 240 divisors, whose sum is σ = 61616926800. Its totient is φ = 6850510848.

The previous prime is 20948258299. The next prime is 20948258327. The reversal of 20948258304 is 40385284902.

20948258304 is a `hidden beast` number, since 2 + 0 + 94 + 8 + 258 + 304 = 666.

It is a super-2 number, since 2×20948258304² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20948258304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89906572 + ... + 89906804.

It is an arithmetic number, because the mean of its divisors is an integer number (256737195).

Almost surely, 2^20948258304 is an apocalyptic number.

20948258304 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 20948258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808463400).

20948258304 is an abundant number, since it is smaller than the sum of its proper divisors (40668668496).

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

20948258304 is a wasteful number, since it uses less digits than its factorization.

20948258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20948258304 in words is "twenty billion, nine hundred forty-eight million, two hundred fifty-eight thousand, three hundred four".