5101140800 has 168 divisors, whose sum is σ = 14387876736. Its totient is φ = 1743759360.

The previous prime is 5101140797. The next prime is 5101140823. The reversal of 5101140800 is 80411015.

It is a super-2 number, since 2×5101140800² = 52043274922849280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6865229 + ... + 6865971.

Almost surely, 2^5101140800 is an apocalyptic number.

5101140800 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 5101140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193938368).

5101140800 is an abundant number, since it is smaller than the sum of its proper divisors (9286735936).

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

5101140800 is a wasteful number, since it uses less digits than its factorization.

5101140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 5101140800 is about 71422.2710364211. The cubic root of 5101140800 is about 1721.4289549323.

Adding to 5101140800 its reverse (80411015), we get a palindrome (5181551815).

The spelling of 5101140800 in words is "five billion, one hundred one million, one hundred forty thousand, eight hundred".