1670199957504 has 1152 divisors, whose sum is σ = 5655141273600. Its totient is φ = 471068835840.

The previous prime is 1670199957343. The next prime is 1670199957509. The reversal of 1670199957504 is 4057599910761.

1670199957504 is a `hidden beast` number, since 1 + 6 + 70 + 1 + 9 + 9 + 9 + 57 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670199957509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16215533517 + ... + 16215533619.

It is an arithmetic number, because the mean of its divisors is an integer number (4908976800).

Almost surely, 2^{1670199957504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670199957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827570636800).

1670199957504 is an abundant number, since it is smaller than the sum of its proper divisors (3984941316096).

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

1670199957504 is a wasteful number, since it uses less digits than its factorization.

1670199957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 1670199957504 in words is "one trillion, six hundred seventy billion, one hundred ninety-nine million, nine hundred fifty-seven thousand, five hundred four".