20506106229630 has 768 divisors, whose sum is σ = 62119993098240. Its totient is φ = 4310859571200.

The previous prime is 20506106229601. The next prime is 20506106229673. The reversal of 20506106229630 is 3692260160502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15546706111 + ... + 15546707429.

It is an arithmetic number, because the mean of its divisors is an integer number (80885407680).

Almost surely, 2^{20506106229630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506106229630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31059996549120).

20506106229630 is an abundant number, since it is smaller than the sum of its proper divisors (41613886868610).

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

20506106229630 is a wasteful number, since it uses less digits than its factorization.

20506106229630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 20506106229630 in words is "twenty trillion, five hundred six billion, one hundred six million, two hundred twenty-nine thousand, six hundred thirty".