51528709440 has 896 divisors, whose sum is σ = 205481041920. Its totient is φ = 12072001536.

The previous prime is 51528709409. The next prime is 51528709457. The reversal of 51528709440 is 4490782515.

51528709440 is a `hidden beast` number, since 51 + 528 + 70 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×51528709440² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 226998607 + ... + 226998833.

It is an arithmetic number, because the mean of its divisors is an integer number (229331520).

Almost surely, 2^51528709440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51528709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102740520960).

51528709440 is an abundant number, since it is smaller than the sum of its proper divisors (153952332480).

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

51528709440 is a wasteful number, since it uses less digits than its factorization.

51528709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51528709440 in words is "fifty-one billion, five hundred twenty-eight million, seven hundred nine thousand, four hundred forty".