20935769400 has 1296 divisors, whose sum is σ = 95802852600. Its totient is φ = 4049740800.

The previous prime is 20935769359. The next prime is 20935769429. The reversal of 20935769400 is 496753902.

It is a happy number.

20935769400 is a `hidden beast` number, since 209 + 35 + 7 + 6 + 9 + 400 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 675347385 + ... + 675347415.

Almost surely, 2^20935769400 is an apocalyptic number.

20935769400 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 20935769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47901426300).

20935769400 is an abundant number, since it is smaller than the sum of its proper divisors (74867083200).

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

20935769400 is a wasteful number, since it uses less digits than its factorization.

20935769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20935769400 in words is "twenty billion, nine hundred thirty-five million, seven hundred sixty-nine thousand, four hundred".