25345353540 has 192 divisors, whose sum is σ = 77656642560. Its totient is φ = 6138961920.

The previous prime is 25345353469. The next prime is 25345353557. The reversal of 25345353540 is 4535354352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25941532 + ... + 25942508.

It is an arithmetic number, because the mean of its divisors is an integer number (404461680).

Almost surely, 2^25345353540 is an apocalyptic number.

25345353540 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 25345353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828321280).

25345353540 is an abundant number, since it is smaller than the sum of its proper divisors (52311289020).

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

25345353540 is a wasteful number, since it uses less digits than its factorization.

25345353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 39.

It can be divided in two parts, 25345 and 353540, that added together give a triangular number (378885 = T₈₇₀).

The spelling of 25345353540 in words is "twenty-five billion, three hundred forty-five million, three hundred fifty-three thousand, five hundred forty".