2053098055008 has 1920 divisors, whose sum is σ = 8697040450560. Its totient is φ = 457213870080.

The previous prime is 2053098054961. The next prime is 2053098055031. The reversal of 2053098055008 is 8005508903502.

2053098055008 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 98 + 0 + 550 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3925617435 + ... + 3925617957.

It is an arithmetic number, because the mean of its divisors is an integer number (4529708568).

Almost surely, 2^{2053098055008} is an apocalyptic number.

2053098055008 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 2053098055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348520225280).

2053098055008 is an abundant number, since it is smaller than the sum of its proper divisors (6643942395552).

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

2053098055008 is a wasteful number, since it uses less digits than its factorization.

2053098055008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2053098055008 in words is "two trillion, fifty-three billion, ninety-eight million, fifty-five thousand, eight".