50100906240 has 1152 divisors, whose sum is σ = 225767485440. Its totient is φ = 10218700800.

The previous prime is 50100906211. The next prime is 50100906269. The reversal of 50100906240 is 4260900105.

It is an interprime number because it is at equal distance from previous prime (50100906211) and next prime (50100906269).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178294900 + ... + 178295180.

It is an arithmetic number, because the mean of its divisors is an integer number (195978720).

Almost surely, 2^50100906240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50100906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112883742720).

50100906240 is an abundant number, since it is smaller than the sum of its proper divisors (175666579200).

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

50100906240 is a wasteful number, since it uses less digits than its factorization.

50100906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 50100906240 in words is "fifty billion, one hundred million, nine hundred six thousand, two hundred forty".