20578007340 has 384 divisors, whose sum is σ = 76509619200. Its totient is φ = 4532613120.

The previous prime is 20578007327. The next prime is 20578007353. The reversal of 20578007340 is 4370087502.

It is an interprime number because it is at equal distance from previous prime (20578007327) and next prime (20578007353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20578007295 and 20578007304.

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 127 ways as a sum of consecutive naturals, for example, 2924907 + ... + 2931933.

It is an arithmetic number, because the mean of its divisors is an integer number (199243800).

Almost surely, 2^20578007340 is an apocalyptic number.

20578007340 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 20578007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38254809600).

20578007340 is an abundant number, since it is smaller than the sum of its proper divisors (55931611860).

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

20578007340 is a wasteful number, since it uses less digits than its factorization.

20578007340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7102 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20578007340 in words is "twenty billion, five hundred seventy-eight million, seven thousand, three hundred forty".