20512377600 has 864 divisors, whose sum is σ = 82436057088. Its totient is φ = 4423680000.

The previous prime is 20512377583. The next prime is 20512377607. The reversal of 20512377600 is 677321502.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20512377607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85113480 + ... + 85113720.

Almost surely, 2^20512377600 is an apocalyptic number.

20512377600 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 20512377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218028544).

20512377600 is an abundant number, since it is smaller than the sum of its proper divisors (61923679488).

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

20512377600 is a wasteful number, since it uses less digits than its factorization.

20512377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 20512377600 in words is "twenty billion, five hundred twelve million, three hundred seventy-seven thousand, six hundred".