51084288000 has 672 divisors, whose sum is σ = 192969196992. Its totient is φ = 12976128000.

The previous prime is 51084287987. The next prime is 51084288001. The reversal of 51084288000 is 88248015.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51084288001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211967880 + ... + 211968120.

Almost surely, 2^51084288000 is an apocalyptic number.

51084288000 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 51084288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96484598496).

51084288000 is an abundant number, since it is smaller than the sum of its proper divisors (141884908992).

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

51084288000 is a wasteful number, since it uses less digits than its factorization.

51084288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 51084288000 in words is "fifty-one billion, eighty-four million, two hundred eighty-eight thousand".