5101213178880 has 3520 divisors, whose sum is σ = 23968175616000. Its totient is φ = 1008641507328.

The previous prime is 5101213178849. The next prime is 5101213178903. The reversal of 5101213178880 is 888713121015.

5101213178880 is a `hidden beast` number, since 510 + 1 + 21 + 31 + 7 + 8 + 8 + 80 = 666.

It is a super-3 number, since 3×5101213178880³ (a number of 39 digits) contains 333 as substring.

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 319 ways as a sum of consecutive naturals, for example, 64572318681 + ... + 64572318759.

It is an arithmetic number, because the mean of its divisors is an integer number (6809140800).

Almost surely, 2^{5101213178880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101213178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984087808000).

5101213178880 is an abundant number, since it is smaller than the sum of its proper divisors (18866962437120).

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

5101213178880 is a wasteful number, since it uses less digits than its factorization.

5101213178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

Adding to 5101213178880 its reverse (888713121015), we get a palindrome (5989926299895).

The spelling of 5101213178880 in words is "five trillion, one hundred one billion, two hundred thirteen million, one hundred seventy-eight thousand, eight hundred eighty".