5011412587200 has 420 divisors, whose sum is σ = 18494201342232. Its totient is φ = 1331043840000.

The previous prime is 5011412587157. The next prime is 5011412587201. The reversal of 5011412587200 is 27852141105.

It is a happy number.

5011412587200 is a `hidden beast` number, since 5 + 0 + 11 + 41 + 2 + 587 + 20 + 0 = 666.

It is a super-2 number, since 2×5011412587200² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5011412587201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32452572 + ... + 32606628.

Almost surely, 2^{5011412587200} is an apocalyptic number.

5011412587200 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 5011412587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9247100671116).

5011412587200 is an abundant number, since it is smaller than the sum of its proper divisors (13482788755032).

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

5011412587200 is a wasteful number, since it uses less digits than its factorization.

5011412587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154342 (or 154318 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 5011412587200 in words is "five trillion, eleven billion, four hundred twelve million, five hundred eighty-seven thousand, two hundred".