1864008538080 has 1152 divisors, whose sum is σ = 6827706224640. Its totient is φ = 426516480000.

The previous prime is 1864008538061. The next prime is 1864008538081. The reversal of 1864008538080 is 808358004681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864008538081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10413455431 + ... + 10413455609.

It is an arithmetic number, because the mean of its divisors is an integer number (5926828320).

Almost surely, 2^{1864008538080} is an apocalyptic number.

1864008538080 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 1864008538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413853112320).

1864008538080 is an abundant number, since it is smaller than the sum of its proper divisors (4963697686560).

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

1864008538080 is a wasteful number, since it uses less digits than its factorization.

1864008538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 1864008538080 in words is "one trillion, eight hundred sixty-four billion, eight million, five hundred thirty-eight thousand, eighty".