25042830980580 has 1536 divisors, whose sum is σ = 100429391462400. Its totient is φ = 5043145826304.

The previous prime is 25042830980567. The next prime is 25042830980593. The reversal of 25042830980580 is 8508903824052.

It is a happy number.

25042830980580 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 28 + 30 + 9 + 8 + 0 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (25042830980567) and next prime (25042830980593).

It is a super-3 number, since 3×25042830980580³ (a number of 41 digits) contains 333 as substring.

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

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, 53624905507 + ... + 53624905973.

It is an arithmetic number, because the mean of its divisors is an integer number (65383718400).

Almost surely, 2^{25042830980580} is an apocalyptic number.

25042830980580 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 25042830980580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50214695731200).

25042830980580 is an abundant number, since it is smaller than the sum of its proper divisors (75386560481820).

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

25042830980580 is a wasteful number, since it uses less digits than its factorization.

25042830980580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 25042830980580 in words is "twenty-five trillion, forty-two billion, eight hundred thirty million, nine hundred eighty thousand, five hundred eighty".