50901101975100 has 288 divisors, whose sum is σ = 160242759806976. Its totient is φ = 12400598246400.

The previous prime is 50901101975077. The next prime is 50901101975111. The reversal of 50901101975100 is 157910110905.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146571867 + ... + 146918733.

It is an arithmetic number, because the mean of its divisors is an integer number (556398471552).

Almost surely, 2^{50901101975100} is an apocalyptic number.

50901101975100 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 50901101975100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80121379903488).

50901101975100 is an abundant number, since it is smaller than the sum of its proper divisors (109341657831876).

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

50901101975100 is a wasteful number, since it uses less digits than its factorization.

50901101975100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347285 (or 347278 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 39.

The spelling of 50901101975100 in words is "fifty trillion, nine hundred one billion, one hundred one million, nine hundred seventy-five thousand, one hundred".