51148339200 has 864 divisors, whose sum is σ = 212767944480. Its totient is φ = 11501568000.

The previous prime is 51148339183. The next prime is 51148339243. The reversal of 51148339200 is 293384115.

51148339200 is a `hidden beast` number, since 5 + 114 + 8 + 339 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325785522 + ... + 325785678.

It is an arithmetic number, because the mean of its divisors is an integer number (246259195).

Almost surely, 2^51148339200 is an apocalyptic number.

51148339200 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 51148339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106383972240).

51148339200 is an abundant number, since it is smaller than the sum of its proper divisors (161619605280).

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

51148339200 is a wasteful number, since it uses less digits than its factorization.

51148339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 51148339200 in words is "fifty-one billion, one hundred forty-eight million, three hundred thirty-nine thousand, two hundred".