25515566039040 has 1472 divisors, whose sum is σ = 106686974914560. Its totient is φ = 5049270927360.

The previous prime is 25515566038979. The next prime is 25515566039129. The reversal of 25515566039040 is 4093066551552.

It is a tau number, because it is divible by the number of its divisors (1472).

It is a super-2 number, since 2×25515566039040² (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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111421685646 + ... + 111421685874.

It is an arithmetic number, because the mean of its divisors is an integer number (72477564480).

Almost surely, 2^{25515566039040} is an apocalyptic number.

25515566039040 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 25515566039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343487457280).

25515566039040 is an abundant number, since it is smaller than the sum of its proper divisors (81171408875520).

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

25515566039040 is an frugal number, since it uses more digits than its factorization.

25515566039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 25515566039040 in words is "twenty-five trillion, five hundred fifteen billion, five hundred sixty-six million, thirty-nine thousand, forty".