20858347440 has 1080 divisors, whose sum is σ = 91235298960. Its totient is φ = 4243083264.

The previous prime is 20858347439. The next prime is 20858347457. The reversal of 20858347440 is 4474385802.

It is a happy number.

20858347440 is a `hidden beast` number, since 20 + 8 + 583 + 4 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 563739102 + ... + 563739138.

Almost surely, 2^20858347440 is an apocalyptic number.

20858347440 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 20858347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45617649480).

20858347440 is an abundant number, since it is smaller than the sum of its proper divisors (70376951520).

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

20858347440 is a wasteful number, since it uses less digits than its factorization.

20858347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20858347440 in words is "twenty billion, eight hundred fifty-eight million, three hundred forty-seven thousand, four hundred forty".