5106278009088 has 720 divisors, whose sum is σ = 15811518292416. Its totient is φ = 1638254592000.

The previous prime is 5106278009087. The next prime is 5106278009149. The reversal of 5106278009088 is 8809008726015.

5106278009088 is a `hidden beast` number, since 5 + 1 + 0 + 627 + 8 + 0 + 0 + 9 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5106278009087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20343736963 + ... + 20343737213.

Almost surely, 2^{5106278009088} 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 5106278009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905759146208).

5106278009088 is an abundant number, since it is smaller than the sum of its proper divisors (10705240283328).

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

5106278009088 is a wasteful number, since it uses less digits than its factorization.

5106278009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 5106278009088 in words is "five trillion, one hundred six billion, two hundred seventy-eight million, nine thousand, eighty-eight".