1005873408000 has 1152 divisors, whose sum is σ = 3911096236320. Its totient is φ = 247726080000.

The previous prime is 1005873407969. The next prime is 1005873408011. The reversal of 1005873408000 is 8043785001.

It can be written as a sum of positive squares in 16 ways, for example, as 442725221376 + 563148186624 = 665376^2 + 750432^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2389247790 + ... + 2389248210.

Almost surely, 2^{1005873408000} is an apocalyptic number.

1005873408000 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 1005873408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955548118160).

1005873408000 is an abundant number, since it is smaller than the sum of its proper divisors (2905222828320).

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

1005873408000 is a wasteful number, since it uses less digits than its factorization.

1005873408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1005873408000 in words is "one trillion, five billion, eight hundred seventy-three million, four hundred eight thousand".