6525116400 has 120 divisors (see below), whose sum is σ = 22802361984. Its totient is φ = 1581843200.

The previous prime is 6525116393. The next prime is 6525116431. The reversal of 6525116400 is 46115256.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233964 + ... + 260363.

Almost surely, 2^6525116400 is an apocalyptic number.

6525116400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6525116400 is an abundant number, since it is smaller than the sum of its proper divisors (16277245584).

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

6525116400 is a wasteful number, since it uses less digits than its factorization.

6525116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494359 (or 494348 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6525116400 is about 80778.1926017165. The cubic root of 6525116400 is about 1868.6562643930.

The spelling of 6525116400 in words is "six billion, five hundred twenty-five million, one hundred sixteen thousand, four hundred".