3058987008000 has 2048 divisors, whose sum is σ = 13143607326720. Its totient is φ = 613416960000.

The previous prime is 3058987007981. The next prime is 3058987008023. The reversal of 3058987008000 is 8007898503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-2 number, since 2×3058987008000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50147327970 + ... + 50147328030.

It is an arithmetic number, because the mean of its divisors is an integer number (6417777015).

Almost surely, 2^{3058987008000} is an apocalyptic number.

3058987008000 is a gapful number since it is divisible by the number (30) 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 3058987008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571803663360).

3058987008000 is an abundant number, since it is smaller than the sum of its proper divisors (10084620318720).

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

3058987008000 is an equidigital number, since it uses as much as digits as its factorization.

3058987008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 3058987008000 in words is "three trillion, fifty-eight billion, nine hundred eighty-seven million, eight thousand".