25954378369920 has 3072 divisors, whose sum is σ = 129116332800000. Its totient is φ = 4805762088960.

The previous prime is 25954378369897. The next prime is 25954378369961. The reversal of 25954378369920 is 2996387345952.

25954378369920 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 437 + 83 + 6 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4514587206 + ... + 4514592954.

It is an arithmetic number, because the mean of its divisors is an integer number (42030056250).

Almost surely, 2^{25954378369920} is an apocalyptic number.

25954378369920 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 25954378369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64558166400000).

25954378369920 is an abundant number, since it is smaller than the sum of its proper divisors (103161954430080).

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

25954378369920 is a wasteful number, since it uses less digits than its factorization.

25954378369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 25954378369920 in words is "twenty-five trillion, nine hundred fifty-four billion, three hundred seventy-eight million, three hundred sixty-nine thousand, nine hundred twenty".