842499097272000 has 2016 divisors, whose sum is σ = 3526889446080000. Its totient is φ = 191416935628800.

The previous prime is 842499097271963. The next prime is 842499097272043. The reversal of 842499097272000 is 272790994248.

842499097272000 is a `hidden beast` number, since 8 + 4 + 2 + 499 + 0 + 9 + 72 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 478964807121 + ... + 478964808879.

It is an arithmetic number, because the mean of its divisors is an integer number (1749449130000).

Almost surely, 2^{842499097272000} is an apocalyptic number.

842499097272000 is a gapful number since it is divisible by the number (80) 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 842499097272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763444723040000).

842499097272000 is an abundant number, since it is smaller than the sum of its proper divisors (2684390348808000).

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

842499097272000 is a wasteful number, since it uses less digits than its factorization.

842499097272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 842499097272000 in words is "eight hundred forty-two trillion, four hundred ninety-nine billion, ninety-seven million, two hundred seventy-two thousand".