1872879254400 has 1152 divisors, whose sum is σ = 8169185352960. Its totient is φ = 372225638400.

The previous prime is 1872879254383. The next prime is 1872879254401. The reversal of 1872879254400 is 44529782781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872879254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119003332 + ... + 119019068.

It is an arithmetic number, because the mean of its divisors is an integer number (7091306730).

Almost surely, 2^{1872879254400} is an apocalyptic number.

1872879254400 is a gapful number since it is divisible by the number (10) 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 1872879254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084592676480).

1872879254400 is an abundant number, since it is smaller than the sum of its proper divisors (6296306098560).

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

1872879254400 is a wasteful number, since it uses less digits than its factorization.

1872879254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15812 (or 15788 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 1872879254400 in words is "one trillion, eight hundred seventy-two billion, eight hundred seventy-nine million, two hundred fifty-four thousand, four hundred".