20480299596900 has 3456 divisors, whose sum is σ = 88741160202240. Its totient is φ = 4013162496000.

The previous prime is 20480299596893. The next prime is 20480299596941. The reversal of 20480299596900 is 969599208402.

20480299596900 is a `hidden beast` number, since 2 + 0 + 480 + 2 + 9 + 95 + 9 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×20480299596900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 79689881572 + ... + 79689881828.

It is an arithmetic number, because the mean of its divisors is an integer number (25677419040).

Almost surely, 2^{20480299596900} is an apocalyptic number.

20480299596900 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 20480299596900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44370580101120).

20480299596900 is an abundant number, since it is smaller than the sum of its proper divisors (68260860605340).

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

20480299596900 is a wasteful number, since it uses less digits than its factorization.

20480299596900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 20480299596900 in words is "twenty trillion, four hundred eighty billion, two hundred ninety-nine million, five hundred ninety-six thousand, nine hundred".