20461777600 has 126 divisors (see below), whose sum is σ = 55342550732. Its totient is φ = 7440576000.

The previous prime is 20461777547. The next prime is 20461777649. The reversal of 20461777600 is 677716402.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140755 + ... + 246445.

Almost surely, 2^20461777600 is an apocalyptic number.

20461777600 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 20461777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27671275366).

20461777600 is an abundant number, since it is smaller than the sum of its proper divisors (34880773132).

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

20461777600 is a wasteful number, since it uses less digits than its factorization.

20461777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105735 (or 105709 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 20461777600 in words is "twenty billion, four hundred sixty-one million, seven hundred seventy-seven thousand, six hundred".