51408828900 has 360 divisors, whose sum is σ = 195785635584. Its totient is φ = 11503814400.

The previous prime is 51408828883. The next prime is 51408828901. The reversal of 51408828900 is 982880415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (51408828901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1136109 + ... + 1180491.

Almost surely, 2^51408828900 is an apocalyptic number.

51408828900 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 51408828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97892817792).

51408828900 is an abundant number, since it is smaller than the sum of its proper divisors (144376806684).

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

51408828900 is a wasteful number, since it uses less digits than its factorization.

51408828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44433 (or 44417 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 51408828900 in words is "fifty-one billion, four hundred eight million, eight hundred twenty-eight thousand, nine hundred".