50415138201600 has 2520 divisors, whose sum is σ = 210322865495160. Its totient is φ = 11863672750080.

The previous prime is 50415138201553. The next prime is 50415138201671. The reversal of 50415138201600 is 610283151405.

50415138201600 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 513 + 82 + 0 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 519743692752 + ... + 519743692848.

Almost surely, 2^{50415138201600} is an apocalyptic number.

50415138201600 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 50415138201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105161432747580).

50415138201600 is an abundant number, since it is smaller than the sum of its proper divisors (159907727293560).

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

50415138201600 is an equidigital number, since it uses as much as digits as its factorization.

50415138201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 50415138201600 in words is "fifty trillion, four hundred fifteen billion, one hundred thirty-eight million, two hundred one thousand, six hundred".