20418697782000 has 960 divisors, whose sum is σ = 85737210324480. Its totient is φ = 4631425344000.

The previous prime is 20418697781941. The next prime is 20418697782031. The reversal of 20418697782000 is 28779681402.

It is a happy number.

20418697782000 is a `hidden beast` number, since 20 + 418 + 69 + 77 + 82 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20418697782000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346596547 + ... + 346655453.

It is an arithmetic number, because the mean of its divisors is an integer number (89309594088).

Almost surely, 2^{20418697782000} is an apocalyptic number.

20418697782000 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 20418697782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42868605162240).

20418697782000 is an abundant number, since it is smaller than the sum of its proper divisors (65318512542480).

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

20418697782000 is a wasteful number, since it uses less digits than its factorization.

20418697782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59084 (or 59055 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 20418697782000 in words is "twenty trillion, four hundred eighteen billion, six hundred ninety-seven million, seven hundred eighty-two thousand".