50028648885600 has 2304 divisors, whose sum is σ = 218686003200000. Its totient is φ = 9828213964800.

The previous prime is 50028648885557. The next prime is 50028648885613. The reversal of 50028648885600 is 658884682005.

It is a super-2 number, since 2×50028648885600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18535993051 + ... + 18535995749.

It is an arithmetic number, because the mean of its divisors is an integer number (94915800000).

Almost surely, 2^{50028648885600} is an apocalyptic number.

50028648885600 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 50028648885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109343001600000).

50028648885600 is an abundant number, since it is smaller than the sum of its proper divisors (168657354314400).

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

50028648885600 is a wasteful number, since it uses less digits than its factorization.

50028648885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 60.

The spelling of 50028648885600 in words is "fifty trillion, twenty-eight billion, six hundred forty-eight million, eight hundred eighty-five thousand, six hundred".