25623037440 has 1440 divisors, whose sum is σ = 121238365248. Its totient is φ = 4866048000.

The previous prime is 25623037411. The next prime is 25623037469. The reversal of 25623037440 is 4473032652.

25623037440 is a `hidden beast` number, since 2 + 56 + 230 + 374 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25623037411) and next prime (25623037469).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 25623037395 and 25623037404.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 253693390 + ... + 253693490.

Almost surely, 2^25623037440 is an apocalyptic number.

25623037440 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 25623037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60619182624).

25623037440 is an abundant number, since it is smaller than the sum of its proper divisors (95615327808).

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

25623037440 is a wasteful number, since it uses less digits than its factorization.

25623037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 25623037440 in words is "twenty-five billion, six hundred twenty-three million, thirty-seven thousand, four hundred forty".