5102038656000 has 1056 divisors, whose sum is σ = 21600525937536. Its totient is φ = 1141678080000.

The previous prime is 5102038655951. The next prime is 5102038656037. The reversal of 5102038656000 is 6568302015.

5102038656000 is a `hidden beast` number, since 5 + 10 + 2 + 0 + 3 + 86 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164720515 + ... + 164751485.

Almost surely, 2^{5102038656000} is an apocalyptic number.

5102038656000 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 5102038656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800262968768).

5102038656000 is an abundant number, since it is smaller than the sum of its proper divisors (16498487281536).

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

5102038656000 is a wasteful number, since it uses less digits than its factorization.

5102038656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036 (or 31005 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 5102038656000 in words is "five trillion, one hundred two billion, thirty-eight million, six hundred fifty-six thousand".