5106229880400 has 960 divisors, whose sum is σ = 20822164439040. Its totient is φ = 1176412723200.

The previous prime is 5106229880369. The next prime is 5106229880459. The reversal of 5106229880400 is 40889226015.

5106229880400 is a `hidden beast` number, since 5 + 10 + 6 + 229 + 8 + 8 + 0 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 428980849 + ... + 428992751.

It is an arithmetic number, because the mean of its divisors is an integer number (21689754624).

Almost surely, 2^{5106229880400} is an apocalyptic number.

5106229880400 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 5106229880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411082219520).

5106229880400 is an abundant number, since it is smaller than the sum of its proper divisors (15715934558640).

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

5106229880400 is a wasteful number, since it uses less digits than its factorization.

5106229880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5106229880400 in words is "five trillion, one hundred six billion, two hundred twenty-nine million, eight hundred eighty thousand, four hundred".