2735878153008 has 960 divisors, whose sum is σ = 10138798186496. Its totient is φ = 617501491200.

The previous prime is 2735878153003. The next prime is 2735878153009. The reversal of 2735878153008 is 8003518785372.

It is not an unprimeable number, because it can be changed into a prime (2735878153003) 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, 606219360 + ... + 606223872.

Almost surely, 2^{2735878153008} is an apocalyptic number.

2735878153008 is a gapful number since it is divisible by the number (28) 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 2735878153008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069399093248).

2735878153008 is an abundant number, since it is smaller than the sum of its proper divisors (7402920033488).

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

2735878153008 is a wasteful number, since it uses less digits than its factorization.

2735878153008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 2735878153008 in words is "two trillion, seven hundred thirty-five billion, eight hundred seventy-eight million, one hundred fifty-three thousand, eight".