516048498000 has 1440 divisors, whose sum is σ = 2245721407488. Its totient is φ = 109734912000.

The previous prime is 516048497981. The next prime is 516048498001. The reversal of 516048498000 is 894840615.

516048498000 is a `hidden beast` number, since 5 + 160 + 484 + 9 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516048498001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1904237865 + ... + 1904238135.

Almost surely, 2^516048498000 is an apocalyptic number.

516048498000 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 516048498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122860703744).

516048498000 is an abundant number, since it is smaller than the sum of its proper divisors (1729672909488).

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

516048498000 is a wasteful number, since it uses less digits than its factorization.

516048498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 432 counting only the distinct ones).

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

The spelling of 516048498000 in words is "five hundred sixteen billion, forty-eight million, four hundred ninety-eight thousand".