20702406144000 has 832 divisors, whose sum is σ = 79355670331392. Its totient is φ = 4694409216000.

The previous prime is 20702406143989. The next prime is 20702406144031. The reversal of 20702406144000 is 44160420702.

It is a super-2 number, since 2×20702406144000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1365496420 + ... + 1365511580.

It is an arithmetic number, because the mean of its divisors is an integer number (95379411456).

Almost surely, 2^{20702406144000} is an apocalyptic number.

20702406144000 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 20702406144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39677835165696).

20702406144000 is an abundant number, since it is smaller than the sum of its proper divisors (58653264187392).

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

20702406144000 is a wasteful number, since it uses less digits than its factorization.

20702406144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 20702406144000 its reverse (44160420702), we get a palindrome (20746566564702).

The spelling of 20702406144000 in words is "twenty trillion, seven hundred two billion, four hundred six million, one hundred forty-four thousand".