50135662540800 has 1440 divisors, whose sum is σ = 192522877747200. Its totient is φ = 12881534976000.

The previous prime is 50135662540771. The next prime is 50135662540829. The reversal of 50135662540800 is 804526653105.

50135662540800 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 566 + 2 + 5 + 4 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50135662540771) and next prime (50135662540829).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34840626481 + ... + 34840627919.

It is an arithmetic number, because the mean of its divisors is an integer number (133696442880).

Almost surely, 2^{50135662540800} is an apocalyptic number.

50135662540800 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 50135662540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96261438873600).

50135662540800 is an abundant number, since it is smaller than the sum of its proper divisors (142387215206400).

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

50135662540800 is a wasteful number, since it uses less digits than its factorization.

50135662540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 50135662540800 in words is "fifty trillion, one hundred thirty-five billion, six hundred sixty-two million, five hundred forty thousand, eight hundred".