25828770240 has 1512 divisors, whose sum is σ = 121133951280. Its totient is φ = 5162766336.

The previous prime is 25828770197. The next prime is 25828770251. The reversal of 25828770240 is 4207782852.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×25828770240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1359408951 + ... + 1359408969.

Almost surely, 2^25828770240 is an apocalyptic number.

25828770240 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 25828770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60566975640).

25828770240 is an abundant number, since it is smaller than the sum of its proper divisors (95305181040).

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

25828770240 is a wasteful number, since it uses less digits than its factorization.

25828770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 25828770240 in words is "twenty-five billion, eight hundred twenty-eight million, seven hundred seventy thousand, two hundred forty".