51578940000 has 480 divisors, whose sum is σ = 194569917696. Its totient is φ = 11715840000.

The previous prime is 51578939983. The next prime is 51578940011. The reversal of 51578940000 is 4987515.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95339730 + ... + 95340270.

Almost surely, 2^51578940000 is an apocalyptic number.

51578940000 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 51578940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97284958848).

51578940000 is an abundant number, since it is smaller than the sum of its proper divisors (142990977696).

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

51578940000 is a wasteful number, since it uses less digits than its factorization.

51578940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 51578940000 in words is "fifty-one billion, five hundred seventy-eight million, nine hundred forty thousand".