25743462528 has 256 divisors, whose sum is σ = 79796183040. Its totient is φ = 7201751040.

The previous prime is 25743462419. The next prime is 25743462551. The reversal of 25743462528 is 82526434752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40161088 + ... + 40161728.

It is an arithmetic number, because the mean of its divisors is an integer number (311703840).

Almost surely, 2^25743462528 is an apocalyptic number.

25743462528 is a gapful number since it is divisible by the number (28) 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 25743462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898091520).

25743462528 is an abundant number, since it is smaller than the sum of its proper divisors (54052720512).

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

25743462528 is a wasteful number, since it uses less digits than its factorization.

25743462528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 25743462528 in words is "twenty-five billion, seven hundred forty-three million, four hundred sixty-two thousand, five hundred twenty-eight".