20125967400 has 768 divisors, whose sum is σ = 87494400000. Its totient is φ = 4130611200.

The previous prime is 20125967347. The next prime is 20125967401. The reversal of 20125967400 is 476952102.

20125967400 is a `hidden beast` number, since 20 + 1 + 2 + 596 + 7 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20125967401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 40332351 + ... + 40332849.

It is an arithmetic number, because the mean of its divisors is an integer number (113925000).

Almost surely, 2^20125967400 is an apocalyptic number.

20125967400 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 20125967400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200000).

20125967400 is an abundant number, since it is smaller than the sum of its proper divisors (67368432600).

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

20125967400 is a wasteful number, since it uses less digits than its factorization.

20125967400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20125967400 in words is "twenty billion, one hundred twenty-five million, nine hundred sixty-seven thousand, four hundred".