25120244240100 has 567 divisors, whose sum is σ = 86345308297227. Its totient is φ = 6339671400960.

The previous prime is 25120244240083. The next prime is 25120244240123. The reversal of 25120244240100 is 104244202152.

It is a happy number.

The square root of 25120244240100 is 5012010.

It is a perfect power (a square), and thus also a powerful number.

25120244240100 is a `hidden beast` number, since 2 + 5 + 1 + 202 + 442 + 4 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3575570882724 + 21544673357376 = 1890918^2 + 4641624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 25711610812 + ... + 25711611788.

Almost surely, 2^{25120244240100} is an apocalyptic number.

25120244240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25120244240100 is the 5012010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25120244240100

25120244240100 is an abundant number, since it is smaller than the sum of its proper divisors (61225064057127).

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

25120244240100 is an frugal number, since it uses more digits than its factorization.

25120244240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 25120244240100 its reverse (104244202152), we get a palindrome (25224488442252).

The spelling of 25120244240100 in words is "twenty-five trillion, one hundred twenty billion, two hundred forty-four million, two hundred forty thousand, one hundred".