25722270167040 has 624 divisors, whose sum is σ = 93707629666560. Its totient is φ = 6513691852800.

The previous prime is 25722270167039. The next prime is 25722270167101. The reversal of 25722270167040 is 4076107222752.

25722270167040 is a `hidden beast` number, since 2 + 572 + 2 + 2 + 7 + 0 + 1 + 6 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589249215 + ... + 589292865.

It is an arithmetic number, because the mean of its divisors is an integer number (150172483440).

Almost surely, 2^{25722270167040} is an apocalyptic number.

25722270167040 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 25722270167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46853814833280).

25722270167040 is an abundant number, since it is smaller than the sum of its proper divisors (67985359499520).

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

25722270167040 is a wasteful number, since it uses less digits than its factorization.

25722270167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43848 (or 43823 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

Adding to 25722270167040 its reverse (4076107222752), we get a palindrome (29798377389792).

The spelling of 25722270167040 in words is "twenty-five trillion, seven hundred twenty-two billion, two hundred seventy million, one hundred sixty-seven thousand, forty".