50515135632000 has 1152 divisors, whose sum is σ = 201753538899120. Its totient is φ = 12098211840000.

The previous prime is 50515135631951. The next prime is 50515135632061. The reversal of 50515135632000 is 23653151505.

50515135632000 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 5 + 13 + 5 + 632 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 20648735751744 + 29866399880256 = 4544088^2 + 5465016^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 900403950 + ... + 900460050.

Almost surely, 2^{50515135632000} is an apocalyptic number.

50515135632000 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 50515135632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100876769449560).

50515135632000 is an abundant number, since it is smaller than the sum of its proper divisors (151238403267120).

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

50515135632000 is a wasteful number, since it uses less digits than its factorization.

50515135632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56199 (or 56161 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 50515135632000 its reverse (23653151505), we get a palindrome (50538788783505).

The spelling of 50515135632000 in words is "fifty trillion, five hundred fifteen billion, one hundred thirty-five million, six hundred thirty-two thousand".