25283413760220 has 1920 divisors, whose sum is σ = 109056018677760. Its totient is φ = 4741541038080.

The previous prime is 25283413760159. The next prime is 25283413760273. The reversal of 25283413760220 is 2206731438252.

25283413760220 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 3 + 4 + 1 + 37 + 602 + 2 + 0 = 666.

It is a super-2 number, since 2×25283413760220² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 15971833549 + ... + 15971835131.

It is an arithmetic number, because the mean of its divisors is an integer number (56800009728).

Almost surely, 2^{25283413760220} is an apocalyptic number.

25283413760220 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 25283413760220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54528009338880).

25283413760220 is an abundant number, since it is smaller than the sum of its proper divisors (83772604917540).

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

25283413760220 is a wasteful number, since it uses less digits than its factorization.

25283413760220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 25283413760220 in words is "twenty-five trillion, two hundred eighty-three billion, four hundred thirteen million, seven hundred sixty thousand, two hundred twenty".