25226950956480 has 1344 divisors, whose sum is σ = 108786481090560. Its totient is φ = 5224115699712.

The previous prime is 25226950956457. The next prime is 25226950956491. The reversal of 25226950956480 is 8465905962252.

25226950956480 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 69 + 5 + 0 + 9 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3581843839 + ... + 3581850881.

It is an arithmetic number, because the mean of its divisors is an integer number (80942322240).

Almost surely, 2^{25226950956480} is an apocalyptic number.

25226950956480 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 25226950956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54393240545280).

25226950956480 is an abundant number, since it is smaller than the sum of its proper divisors (83559530134080).

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

25226950956480 is a wasteful number, since it uses less digits than its factorization.

25226950956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 25226950956480 in words is "twenty-five trillion, two hundred twenty-six billion, nine hundred fifty million, nine hundred fifty-six thousand, four hundred eighty".