20125956480 has 512 divisors, whose sum is σ = 75728977920. Its totient is φ = 4451328000.

The previous prime is 20125956451. The next prime is 20125956541. The reversal of 20125956480 is 8465952102.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95383575 + ... + 95383785.

It is an arithmetic number, because the mean of its divisors is an integer number (147908160).

Almost surely, 2^20125956480 is an apocalyptic number.

20125956480 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 20125956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37864488960).

20125956480 is an abundant number, since it is smaller than the sum of its proper divisors (55603021440).

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

20125956480 is a wasteful number, since it uses less digits than its factorization.

20125956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 20125956480 in words is "twenty billion, one hundred twenty-five million, nine hundred fifty-six thousand, four hundred eighty".