1653270056802 has 240 divisors, whose sum is σ = 4696336858752. Its totient is φ = 425390434560.

The previous prime is 1653270056777. The next prime is 1653270056807. The reversal of 1653270056802 is 2086500723561.

1653270056802 is a `hidden beast` number, since 1 + 65 + 3 + 27 + 0 + 0 + 568 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1653270056807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7752283 + ... + 7962689.

Almost surely, 2^{1653270056802} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653270056802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348168429376).

1653270056802 is an abundant number, since it is smaller than the sum of its proper divisors (3043066801950).

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

1653270056802 is a wasteful number, since it uses less digits than its factorization.

1653270056802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210495 (or 210473 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1653270056802 in words is "one trillion, six hundred fifty-three billion, two hundred seventy million, fifty-six thousand, eight hundred two".