5102178729984 has 816 divisors, whose sum is σ = 17955695209088. Its totient is φ = 1417219670016.

The previous prime is 5102178729961. The next prime is 5102178730003. The reversal of 5102178729984 is 4899278712015.

5102178729984 is a `hidden beast` number, since 51 + 0 + 217 + 8 + 7 + 299 + 84 = 666.

It is a super-2 number, since 2×5102178729984² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4124638614 + ... + 4124639850.

Almost surely, 2^{5102178729984} is an apocalyptic number.

5102178729984 is a gapful number since it is divisible by the number (54) 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 5102178729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977847604544).

5102178729984 is an abundant number, since it is smaller than the sum of its proper divisors (12853516479104).

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

5102178729984 is an frugal number, since it uses more digits than its factorization.

5102178729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 5102178729984 in words is "five trillion, one hundred two billion, one hundred seventy-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".