10203606466020 has 576 divisors, whose sum is σ = 37354833524736. Its totient is φ = 2223911669760.

The previous prime is 10203606466019. The next prime is 10203606466033. The reversal of 10203606466020 is 2066460630201.

10203606466020 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 6 + 0 + 6 + 46 + 602 + 0 = 666.

It is a super-2 number, since 2×10203606466020² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 609271287 + ... + 609288033.

It is an arithmetic number, because the mean of its divisors is an integer number (64852141536).

Almost surely, 2^{10203606466020} is an apocalyptic number.

10203606466020 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 10203606466020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18677416762368).

10203606466020 is an abundant number, since it is smaller than the sum of its proper divisors (27151227058716).

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

10203606466020 is a wasteful number, since it uses less digits than its factorization.

10203606466020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600 (or 17595 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 10203606466020 in words is "ten trillion, two hundred three billion, six hundred six million, four hundred sixty-six thousand, twenty".