20422874682000 has 2560 divisors, whose sum is σ = 90974862950400. Its totient is φ = 4279661568000.

The previous prime is 20422874681977. The next prime is 20422874682017. The reversal of 20422874682000 is 28647822402.

It is a super-2 number, since 2×20422874682000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17440541415 + ... + 17440542585.

It is an arithmetic number, because the mean of its divisors is an integer number (35537055840).

Almost surely, 2^{20422874682000} is an apocalyptic number.

20422874682000 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 20422874682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45487431475200).

20422874682000 is an abundant number, since it is smaller than the sum of its proper divisors (70551988268400).

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

20422874682000 is a wasteful number, since it uses less digits than its factorization.

20422874682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 20422874682000 in words is "twenty trillion, four hundred twenty-two billion, eight hundred seventy-four million, six hundred eighty-two thousand".