51828987159600 has 480 divisors, whose sum is σ = 195926024503296. Its totient is φ = 11460858393600.

The previous prime is 51828987159581. The next prime is 51828987159601. The reversal of 51828987159600 is 695178982815.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51828987159601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871529067 + ... + 871588533.

Almost surely, 2^{51828987159600} is an apocalyptic number.

51828987159600 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 51828987159600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97963012251648).

51828987159600 is an abundant number, since it is smaller than the sum of its proper divisors (144097037343696).

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

51828987159600 is a wasteful number, since it uses less digits than its factorization.

51828987159600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62873 (or 62862 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 69.

The spelling of 51828987159600 in words is "fifty-one trillion, eight hundred twenty-eight billion, nine hundred eighty-seven million, one hundred fifty-nine thousand, six hundred".