51194050729248 has 1536 divisors, whose sum is σ = 178989834240000. Its totient is φ = 12473048383488.

The previous prime is 51194050729223. The next prime is 51194050729259. The reversal of 51194050729248 is 84292705049115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69841815090 + ... + 69841815822.

It is an arithmetic number, because the mean of its divisors is an integer number (116529840000).

Almost surely, 2^{51194050729248} is an apocalyptic number.

51194050729248 is a gapful number since it is divisible by the number (58) 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 51194050729248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89494917120000).

51194050729248 is an abundant number, since it is smaller than the sum of its proper divisors (127795783510752).

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

51194050729248 is a wasteful number, since it uses less digits than its factorization.

51194050729248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 51194050729248 in words is "fifty-one trillion, one hundred ninety-four billion, fifty million, seven hundred twenty-nine thousand, two hundred forty-eight".