6553010400 has 288 divisors, whose sum is σ = 22963717728. Its totient is φ = 1617100800.

The previous prime is 6553010371. The next prime is 6553010447. The reversal of 6553010400 is 40103556.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2487484 + ... + 2490116.

It is an arithmetic number, because the mean of its divisors is an integer number (79735131).

Almost surely, 2^6553010400 is an apocalyptic number.

6553010400 is a gapful number since it is divisible by the number (60) 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 6553010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481858864).

6553010400 is an abundant number, since it is smaller than the sum of its proper divisors (16410707328).

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

6553010400 is a wasteful number, since it uses less digits than its factorization.

6553010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 6553010400 is about 80950.6664580348. Note that the first 3 decimals coincide. The cubic root of 6553010400 is about 1871.3152309536.

Adding to 6553010400 its reverse (40103556), we get a palindrome (6593113956).

The spelling of 6553010400 in words is "six billion, five hundred fifty-three million, ten thousand, four hundred".