1653360116040 has 192 divisors, whose sum is σ = 5383259481600. Its totient is φ = 440089689600.

The previous prime is 1653360116029. The next prime is 1653360116081. The reversal of 1653360116040 is 406110633561.

1653360116040 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 3 + 601 + 1 + 6 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1653360115986 and 1653360116004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883676305 + ... + 883678175.

It is an arithmetic number, because the mean of its divisors is an integer number (28037809800).

Almost surely, 2^{1653360116040} is an apocalyptic number.

1653360116040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653360116040 is an abundant number, since it is smaller than the sum of its proper divisors (3729899365560).

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

1653360116040 is a wasteful number, since it uses less digits than its factorization.

1653360116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1653360116040 in words is "one trillion, six hundred fifty-three billion, three hundred sixty million, one hundred sixteen thousand, forty".