1672899010992 has 480 divisors, whose sum is σ = 5764666752000. Its totient is φ = 446275215360.

The previous prime is 1672899010969. The next prime is 1672899011027. The reversal of 1672899010992 is 2990109982761.

1672899010992 is a `hidden beast` number, since 167 + 289 + 9 + 0 + 109 + 92 = 666.

It is a super-2 number, since 2×1672899010992² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40398234 + ... + 40439622.

It is an arithmetic number, because the mean of its divisors is an integer number (12009722400).

Almost surely, 2^{1672899010992} is an apocalyptic number.

1672899010992 is a gapful number since it is divisible by the number (12) 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 1672899010992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882333376000).

1672899010992 is an abundant number, since it is smaller than the sum of its proper divisors (4091767741008).

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

1672899010992 is a wasteful number, since it uses less digits than its factorization.

1672899010992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41529 (or 41520 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 1672899010992 in words is "one trillion, six hundred seventy-two billion, eight hundred ninety-nine million, ten thousand, nine hundred ninety-two".