5076142283520 has 1728 divisors, whose sum is σ = 23096545920000. Its totient is φ = 1054484766720.

The previous prime is 5076142283507. The next prime is 5076142283629. The reversal of 5076142283520 is 253822416705.

5076142283520 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 1 + 42 + 2 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 1434341911 + ... + 1434345449.

Almost surely, 2^{5076142283520} 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 5076142283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548272960000).

5076142283520 is an abundant number, since it is smaller than the sum of its proper divisors (18020403636480).

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

5076142283520 is a wasteful number, since it uses less digits than its factorization.

5076142283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5076142283520 in words is "five trillion, seventy-six billion, one hundred forty-two million, two hundred eighty-three thousand, five hundred twenty".