25343735040 has 864 divisors, whose sum is σ = 100281452544. Its totient is φ = 5865799680.

The previous prime is 25343735023. The next prime is 25343735057. The reversal of 25343735040 is 4053734352.

25343735040 is a `hidden beast` number, since 2 + 534 + 3 + 73 + 50 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25343735023) and next prime (25343735057).

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 = 25343734986 and 25343735004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246055629 + ... + 246055731.

It is an arithmetic number, because the mean of its divisors is an integer number (116066496).

Almost surely, 2^25343735040 is an apocalyptic number.

25343735040 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 25343735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50140726272).

25343735040 is an abundant number, since it is smaller than the sum of its proper divisors (74937717504).

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

25343735040 is a wasteful number, since it uses less digits than its factorization.

25343735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 25343735040 in words is "twenty-five billion, three hundred forty-three million, seven hundred thirty-five thousand, forty".