3055757802240 has 1152 divisors, whose sum is σ = 12017753008128. Its totient is φ = 651142103040.

The previous prime is 3055757802203. The next prime is 3055757802277. The reversal of 3055757802240 is 422087575503.

It is an interprime number because it is at equal distance from previous prime (3055757802203) and next prime (3055757802277).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3055757802240.

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, 3953114494 + ... + 3953115266.

It is an arithmetic number, because the mean of its divisors is an integer number (10432077264).

Almost surely, 2^{3055757802240} is an apocalyptic number.

3055757802240 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 3055757802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008876504064).

3055757802240 is an abundant number, since it is smaller than the sum of its proper divisors (8961995205888).

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

3055757802240 is a wasteful number, since it uses less digits than its factorization.

3055757802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 3055757802240 in words is "three trillion, fifty-five billion, seven hundred fifty-seven million, eight hundred two thousand, two hundred forty".