51145600 has 96 divisors (see below), whose sum is σ = 137926440. Its totient is φ = 18585600.

The previous prime is 51145561. The next prime is 51145603. The reversal of 51145600 is 654115.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51145603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34474 + ... + 35926.

Almost surely, 2^51145600 is an apocalyptic number.

51145600 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 51145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68963220).

51145600 is an abundant number, since it is smaller than the sum of its proper divisors (86780840).

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

51145600 is a wasteful number, since it uses less digits than its factorization.

51145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 51145600 is about 7151.6152021764. The cubic root of 51145600 is about 371.1955484008.

Adding to 51145600 its reverse (654115), we get a palindrome (51799715).

The spelling of 51145600 in words is "fifty-one million, one hundred forty-five thousand, six hundred".