10420516606500 has 3072 divisors, whose sum is σ = 47115023155200. Its totient is φ = 1919054592000.

The previous prime is 10420516606463. The next prime is 10420516606537. The reversal of 10420516606500 is 560661502401.

10420516606500 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 516 + 60 + 65 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10420516606463) and next prime (10420516606537).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 45905359387 + ... + 45905359613.

It is an arithmetic number, because the mean of its divisors is an integer number (15336921600).

Almost surely, 2^{10420516606500} is an apocalyptic number.

10420516606500 is a gapful number since it is divisible by the number (10) 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 10420516606500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557511577600).

10420516606500 is an abundant number, since it is smaller than the sum of its proper divisors (36694506548700).

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

10420516606500 is a wasteful number, since it uses less digits than its factorization.

10420516606500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10420516606500 in words is "ten trillion, four hundred twenty billion, five hundred sixteen million, six hundred six thousand, five hundred".