5415261600 has 576 divisors, whose sum is σ = 21724609536. Its totient is φ = 1143521280.

The previous prime is 5415261569. The next prime is 5415261613. The reversal of 5415261600 is 61625145.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19135059 + ... + 19135341.

It is an arithmetic number, because the mean of its divisors is an integer number (37716336).

Almost surely, 2^5415261600 is an apocalyptic number.

5415261600 is a gapful number since it is divisible by the number (50) 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 5415261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862304768).

5415261600 is an abundant number, since it is smaller than the sum of its proper divisors (16309347936).

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

5415261600 is a wasteful number, since it uses less digits than its factorization.

5415261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

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

The square root of 5415261600 is about 73588.4610519883. The cubic root of 5415261600 is about 1756.0618731042.

Adding to 5415261600 its reverse (61625145), we get a palindrome (5476886745).

The spelling of 5415261600 in words is "five billion, four hundred fifteen million, two hundred sixty-one thousand, six hundred".