20186772480 has 704 divisors, whose sum is σ = 85647790080. Its totient is φ = 4408639488.

The previous prime is 20186772461. The next prime is 20186772493. The reversal of 20186772480 is 8427768102.

20186772480 is a `hidden beast` number, since 20 + 1 + 86 + 7 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22256187 + ... + 22257093.

Almost surely, 2^20186772480 is an apocalyptic number.

20186772480 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 20186772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42823895040).

20186772480 is an abundant number, since it is smaller than the sum of its proper divisors (65461017600).

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

20186772480 is a wasteful number, since it uses less digits than its factorization.

20186772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20186772480 in words is "twenty billion, one hundred eighty-six million, seven hundred seventy-two thousand, four hundred eighty".