25434782919000 has 2048 divisors, whose sum is σ = 111922836480000. Its totient is φ = 5200091136000.

The previous prime is 25434782918969. The next prime is 25434782919113. The reversal of 25434782919000 is 91928743452.

25434782919000 is a `hidden beast` number, since 2 + 5 + 4 + 347 + 8 + 291 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×25434782919000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16420130226 + ... + 16420131774.

It is an arithmetic number, because the mean of its divisors is an integer number (54649822500).

Almost surely, 2^{25434782919000} is an apocalyptic number.

25434782919000 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 25434782919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55961418240000).

25434782919000 is an abundant number, since it is smaller than the sum of its proper divisors (86488053561000).

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

25434782919000 is a wasteful number, since it uses less digits than its factorization.

25434782919000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25434782919000 in words is "twenty-five trillion, four hundred thirty-four billion, seven hundred eighty-two million, nine hundred nineteen thousand".