20109957504 has 384 divisors, whose sum is σ = 70456377600. Its totient is φ = 5023420416.

The previous prime is 20109957499. The next prime is 20109957551. The reversal of 20109957504 is 40575990102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4645389 + ... + 4649715.

It is an arithmetic number, because the mean of its divisors is an integer number (183480150).

Almost surely, 2^20109957504 is an apocalyptic number.

20109957504 is a gapful number since it is divisible by the number (24) 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 20109957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35228188800).

20109957504 is an abundant number, since it is smaller than the sum of its proper divisors (50346420096).

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

20109957504 is a wasteful number, since it uses less digits than its factorization.

20109957504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 20109957504 in words is "twenty billion, one hundred nine million, nine hundred fifty-seven thousand, five hundred four".