1610417916072 has 192 divisors, whose sum is σ = 5475105792000. Its totient is φ = 416950250112.

The previous prime is 1610417916043. The next prime is 1610417916077. The reversal of 1610417916072 is 2706197140161.

1610417916072 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 417 + 9 + 160 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1610417916077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3435672 + ... + 3876167.

It is an arithmetic number, because the mean of its divisors is an integer number (28516176000).

Almost surely, 2^{1610417916072} is an apocalyptic number.

1610417916072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1610417916072 is an abundant number, since it is smaller than the sum of its proper divisors (3864687875928).

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

1610417916072 is a wasteful number, since it uses less digits than its factorization.

1610417916072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311900 (or 7311893 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1610417916072 in words is "one trillion, six hundred ten billion, four hundred seventeen million, nine hundred sixteen thousand, seventy-two".