20519457504 has 384 divisors, whose sum is σ = 72473812992. Its totient is φ = 4927979520.

The previous prime is 20519457467. The next prime is 20519457509. The reversal of 20519457504 is 40575491502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20519457509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4601644 + ... + 4606100.

It is an arithmetic number, because the mean of its divisors is an integer number (188733888).

Almost surely, 2^20519457504 is an apocalyptic number.

20519457504 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 20519457504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36236906496).

20519457504 is an abundant number, since it is smaller than the sum of its proper divisors (51954355488).

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

20519457504 is a wasteful number, since it uses less digits than its factorization.

20519457504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 20519457504 in words is "twenty billion, five hundred nineteen million, four hundred fifty-seven thousand, five hundred four".