50582877408 has 480 divisors, whose sum is σ = 177038991360. Its totient is φ = 13862016000.

The previous prime is 50582877349. The next prime is 50582877419. The reversal of 50582877408 is 80477828505.

50582877408 is a `hidden beast` number, since 50 + 582 + 8 + 7 + 7 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132069985 + ... + 132070367.

It is an arithmetic number, because the mean of its divisors is an integer number (368831232).

Almost surely, 2^50582877408 is an apocalyptic number.

50582877408 is a gapful number since it is divisible by the number (58) 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 50582877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519495680).

50582877408 is an abundant number, since it is smaller than the sum of its proper divisors (126456113952).

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

50582877408 is a wasteful number, since it uses less digits than its factorization.

50582877408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 50582877408 in words is "fifty billion, five hundred eighty-two million, eight hundred seventy-seven thousand, four hundred eight".