2801153835072 has 140 divisors (see below), whose sum is σ = 8340080276880. Its totient is φ = 929604259584.

The previous prime is 2801153835043. The next prime is 2801153835079. The reversal of 2801153835072 is 2705383511082.

2801153835072 is a `hidden beast` number, since 2 + 8 + 0 + 11 + 53 + 83 + 507 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2801153835079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13422 + ... + 2366957.

Almost surely, 2^{2801153835072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2801153835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170040138440).

2801153835072 is an abundant number, since it is smaller than the sum of its proper divisors (5538926441808).

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

2801153835072 is a wasteful number, since it uses less digits than its factorization.

2801153835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380630 (or 2380611 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2801153835072 in words is "two trillion, eight hundred one billion, one hundred fifty-three million, eight hundred thirty-five thousand, seventy-two".