25131421355040 has 3072 divisors, whose sum is σ = 120983472046080. Its totient is φ = 4704178913280.

The previous prime is 25131421355023. The next prime is 25131421355059. The reversal of 25131421355040 is 4055312413152.

25131421355040 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 14 + 2 + 135 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25131421354986 and 25131421355004.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36795638539 + ... + 36795639221.

It is an arithmetic number, because the mean of its divisors is an integer number (39382640640).

Almost surely, 2^{25131421355040} is an apocalyptic number.

25131421355040 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 25131421355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60491736023040).

25131421355040 is an abundant number, since it is smaller than the sum of its proper divisors (95852050691040).

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

25131421355040 is a wasteful number, since it uses less digits than its factorization.

25131421355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 25131421355040 its reverse (4055312413152), we get a palindrome (29186733768192).

The spelling of 25131421355040 in words is "twenty-five trillion, one hundred thirty-one billion, four hundred twenty-one million, three hundred fifty-five thousand, forty".