20378598240 has 1152 divisors, whose sum is σ = 90000916992. Its totient is φ = 3808788480.

The previous prime is 20378598239. The next prime is 20378598263. The reversal of 20378598240 is 4289587302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20378598240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245525239 + ... + 245525321.

It is an arithmetic number, because the mean of its divisors is an integer number (78125796).

Almost surely, 2^20378598240 is an apocalyptic number.

20378598240 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 20378598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45000458496).

20378598240 is an abundant number, since it is smaller than the sum of its proper divisors (69622318752).

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

20378598240 is a wasteful number, since it uses less digits than its factorization.

20378598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 20378598240 in words is "twenty billion, three hundred seventy-eight million, five hundred ninety-eight thousand, two hundred forty".