20058776640 has 336 divisors, whose sum is σ = 79008988032. Its totient is φ = 4575633408.

The previous prime is 20058776609. The next prime is 20058776671. The reversal of 20058776640 is 4667785002.

20058776640 is a `hidden beast` number, since 2 + 0 + 0 + 587 + 7 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20058776609) and next prime (20058776671).

It is a tau number, because it is divible by the number of its divisors (336).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18284572 + ... + 18285668.

Almost surely, 2^20058776640 is an apocalyptic number.

20058776640 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 20058776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39504494016).

20058776640 is an abundant number, since it is smaller than the sum of its proper divisors (58950211392).

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

20058776640 is a wasteful number, since it uses less digits than its factorization.

20058776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20058776640 in words is "twenty billion, fifty-eight million, seven hundred seventy-six thousand, six hundred forty".