25497537778944 has 1728 divisors, whose sum is σ = 101987188531200. Its totient is φ = 6272761098240.

The previous prime is 25497537778943. The next prime is 25497537778949. The reversal of 25497537778944 is 44987773579452.

25497537778944 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 7 + 537 + 7 + 78 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25497537778943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5733646929 + ... + 5733651375.

Almost surely, 2^{25497537778944} is an apocalyptic number.

25497537778944 is a gapful number since it is divisible by the number (24) 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 25497537778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993594265600).

25497537778944 is an abundant number, since it is smaller than the sum of its proper divisors (76489650752256).

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

25497537778944 is an equidigital number, since it uses as much as digits as its factorization.

25497537778944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4489 counting only the distinct ones).

The product of its digits is 14936140800, while the sum is 81.

The spelling of 25497537778944 in words is "twenty-five trillion, four hundred ninety-seven billion, five hundred thirty-seven million, seven hundred seventy-eight thousand, nine hundred forty-four".