20753435880 has 192 divisors, whose sum is σ = 70660512000. Its totient is φ = 5275565568.

The previous prime is 20753435867. The next prime is 20753435893. The reversal of 20753435880 is 8853435702.

20753435880 is a `hidden beast` number, since 2 + 0 + 7 + 534 + 35 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (20753435867) and next prime (20753435893).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812179 + ... + 837341.

It is an arithmetic number, because the mean of its divisors is an integer number (368023500).

Almost surely, 2^20753435880 is an apocalyptic number.

20753435880 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 20753435880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35330256000).

20753435880 is an abundant number, since it is smaller than the sum of its proper divisors (49907076120).

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

20753435880 is a wasteful number, since it uses less digits than its factorization.

20753435880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25288 (or 25281 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 20753435880 in words is "twenty billion, seven hundred fifty-three million, four hundred thirty-five thousand, eight hundred eighty".