20416402460610 has 192 divisors, whose sum is σ = 57802170561408. Its totient is φ = 4969843587072.

The previous prime is 20416402460599. The next prime is 20416402460633. The reversal of 20416402460610 is 1606420461402.

20416402460610 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 40 + 2 + 4 + 606 + 1 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58394737 + ... + 58743323.

It is an arithmetic number, because the mean of its divisors is an integer number (301052971674).

Almost surely, 2^{20416402460610} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20416402460610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28901085280704).

20416402460610 is an abundant number, since it is smaller than the sum of its proper divisors (37385768100798).

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

20416402460610 is a wasteful number, since it uses less digits than its factorization.

20416402460610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349169 (or 349166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20416402460610 in words is "twenty trillion, four hundred sixteen billion, four hundred two million, four hundred sixty thousand, six hundred ten".