20682161500 has 576 divisors, whose sum is σ = 64124476416. Its totient is φ = 5624640000.

The previous prime is 20682161491. The next prime is 20682161557. The reversal of 20682161500 is 516128602.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 480980479 + ... + 480980521.

It is an arithmetic number, because the mean of its divisors is an integer number (111327216).

Almost surely, 2^20682161500 is an apocalyptic number.

20682161500 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 20682161500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062238208).

20682161500 is an abundant number, since it is smaller than the sum of its proper divisors (43442314916).

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

20682161500 is a wasteful number, since it uses less digits than its factorization.

20682161500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 20682161500 in words is "twenty billion, six hundred eighty-two million, one hundred sixty-one thousand, five hundred".