25510151200 has 72 divisors (see below), whose sum is σ = 63297706500. Its totient is φ = 10036761600.

The previous prime is 25510151197. The next prime is 25510151201. The reversal of 25510151200 is 215101552.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8523720976 + 16986430224 = 92324^2 + 130332^2 .

It is a super-2 number, since 2×25510151200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25510151201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212575 + ... + 310174.

Almost surely, 2^25510151200 is an apocalyptic number.

25510151200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25510151200 is an abundant number, since it is smaller than the sum of its proper divisors (37787555300).

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

25510151200 is a wasteful number, since it uses less digits than its factorization.

25510151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522830 (or 522817 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 25510151200 its reverse (215101552), we get a palindrome (25725252752).

The spelling of 25510151200 in words is "twenty-five billion, five hundred ten million, one hundred fifty-one thousand, two hundred".