496198872000 has 1680 divisors, whose sum is σ = 2084688695232. Its totient is φ = 116237721600.

The previous prime is 496198871989. The next prime is 496198872011. The reversal of 496198872000 is 278891694.

496198872000 is a `hidden beast` number, since 496 + 1 + 9 + 88 + 72 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (496198871989) and next prime (496198872011).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2518775902 + ... + 2518776098.

Almost surely, 2^496198872000 is an apocalyptic number.

496198872000 is a gapful number since it is divisible by the number (40) 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 496198872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042344347616).

496198872000 is an abundant number, since it is smaller than the sum of its proper divisors (1588489823232).

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

496198872000 is a wasteful number, since it uses less digits than its factorization.

496198872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 496198872000 in words is "four hundred ninety-six billion, one hundred ninety-eight million, eight hundred seventy-two thousand".