25434311001540 has 288 divisors, whose sum is σ = 83054031540480. Its totient is φ = 5798780338176.

The previous prime is 25434311001529. The next prime is 25434311001551. The reversal of 25434311001540 is 4510011343452.

It is an interprime number because it is at equal distance from previous prime (25434311001529) and next prime (25434311001551).

It is a super-2 number, since 2×25434311001540² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1937550457 + ... + 1937563583.

It is an arithmetic number, because the mean of its divisors is an integer number (288382053960).

Almost surely, 2^{25434311001540} is an apocalyptic number.

25434311001540 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 25434311001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41527015770240).

25434311001540 is an abundant number, since it is smaller than the sum of its proper divisors (57619720538940).

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

25434311001540 is a wasteful number, since it uses less digits than its factorization.

25434311001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 25434311001540 its reverse (4510011343452), we get a palindrome (29944322344992).

The spelling of 25434311001540 in words is "twenty-five trillion, four hundred thirty-four billion, three hundred eleven million, one thousand, five hundred forty".