50978538000 has 640 divisors, whose sum is σ = 198887270400. Its totient is φ = 12407040000.

The previous prime is 50978537983. The next prime is 50978538007. The reversal of 50978538000 is 83587905.

It is a super-2 number, since 2×50978538000² (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 not an unprimeable number, because it can be changed into a prime (50978538007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70901641 + ... + 70902359.

It is an arithmetic number, because the mean of its divisors is an integer number (310761360).

Almost surely, 2^50978538000 is an apocalyptic number.

50978538000 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 50978538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99443635200).

50978538000 is an abundant number, since it is smaller than the sum of its proper divisors (147908732400).

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

50978538000 is a wasteful number, since it uses less digits than its factorization.

50978538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 50978538000 in words is "fifty billion, nine hundred seventy-eight million, five hundred thirty-eight thousand".