25329535103040 has 896 divisors, whose sum is σ = 97996033225728. Its totient is φ = 5411108290560.

The previous prime is 25329535102981. The next prime is 25329535103107. The reversal of 25329535103040 is 4030153592352.

It is a happy number.

It is a super-2 number, since 2×25329535103040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25329535102983 and 25329535103001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21447531250 + ... + 21447532430.

Almost surely, 2^{25329535103040} is an apocalyptic number.

25329535103040 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 25329535103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48998016612864).

25329535103040 is an abundant number, since it is smaller than the sum of its proper divisors (72666498122688).

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

25329535103040 is a wasteful number, since it uses less digits than its factorization.

25329535103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 25329535103040 its reverse (4030153592352), we get a palindrome (29359688695392).

The spelling of 25329535103040 in words is "twenty-five trillion, three hundred twenty-nine billion, five hundred thirty-five million, one hundred three thousand, forty".