20160510097728 has 896 divisors, whose sum is σ = 73384752107520. Its totient is φ = 4715566202880.

The previous prime is 20160510097681. The next prime is 20160510097801. The reversal of 20160510097728 is 82779001506102.

It is a super-2 number, since 2×20160510097728² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1823319976 + ... + 1823331032.

It is an arithmetic number, because the mean of its divisors is an integer number (81902625120).

Almost surely, 2^{20160510097728} is an apocalyptic number.

20160510097728 is a gapful number since it is divisible by the number (28) 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 20160510097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36692376053760).

20160510097728 is an abundant number, since it is smaller than the sum of its proper divisors (53224242009792).

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

20160510097728 is a wasteful number, since it uses less digits than its factorization.

20160510097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 20160510097728 in words is "twenty trillion, one hundred sixty billion, five hundred ten million, ninety-seven thousand, seven hundred twenty-eight".