5135919381120 has 384 divisors, whose sum is σ = 18003779377920. Its totient is φ = 1244414730240.

The previous prime is 5135919381119. The next prime is 5135919381133. The reversal of 5135919381120 is 211839195315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5135919381120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553613922 + ... + 553623198.

It is an arithmetic number, because the mean of its divisors is an integer number (46884842130).

Almost surely, 2^{5135919381120} 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 5135919381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9001889688960).

5135919381120 is an abundant number, since it is smaller than the sum of its proper divisors (12867859996800).

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

5135919381120 is a wasteful number, since it uses less digits than its factorization.

5135919381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 48.

The spelling of 5135919381120 in words is "five trillion, one hundred thirty-five billion, nine hundred nineteen million, three hundred eighty-one thousand, one hundred twenty".