20416151436000 has 384 divisors, whose sum is σ = 67605311854080. Its totient is φ = 5385590784000.

The previous prime is 20416151435987. The next prime is 20416151436073. The reversal of 20416151436000 is 63415161402.

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, 4352193655 + ... + 4352198345.

It is an arithmetic number, because the mean of its divisors is an integer number (176055499620).

Almost surely, 2^{20416151436000} is an apocalyptic number.

20416151436000 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 20416151436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33802655927040).

20416151436000 is an abundant number, since it is smaller than the sum of its proper divisors (47189160418080).

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

20416151436000 is a wasteful number, since it uses less digits than its factorization.

20416151436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8555 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 20416151436000 its reverse (63415161402), we get a palindrome (20479566597402).

The spelling of 20416151436000 in words is "twenty trillion, four hundred sixteen billion, one hundred fifty-one million, four hundred thirty-six thousand".