51748629030 has 384 divisors, whose sum is σ = 164882304000. Its totient is φ = 11512005120.

The previous prime is 51748628977. The next prime is 51748629061. The reversal of 51748629030 is 3092684715.

51748629030 is a `hidden beast` number, since 5 + 17 + 4 + 8 + 629 + 0 + 3 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83600061 + ... + 83600679.

It is an arithmetic number, because the mean of its divisors is an integer number (429381000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅51748629030 = 103497258060, but 3⋅51748629030 = 155245887090 is not.

Almost surely, 2^51748629030 is an apocalyptic number.

51748629030 is the 113742-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51748629030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82441152000).

51748629030 is an abundant number, since it is smaller than the sum of its proper divisors (113133674970).

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

51748629030 is a wasteful number, since it uses less digits than its factorization.

51748629030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 51748629030 in words is "fifty-one billion, seven hundred forty-eight million, six hundred twenty-nine thousand, thirty".