1257161189904 has 160 divisors (see below), whose sum is σ = 3799754816000. Its totient is φ = 396860881536.

The previous prime is 1257161189821. The next prime is 1257161189941. The reversal of 1257161189904 is 4099811617521.

1257161189904 is a `hidden beast` number, since 1 + 2 + 571 + 61 + 1 + 8 + 9 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25148967 + ... + 25198905.

It is an arithmetic number, because the mean of its divisors is an integer number (23748467600).

Almost surely, 2^{1257161189904} 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 1257161189904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899877408000).

1257161189904 is an abundant number, since it is smaller than the sum of its proper divisors (2542593626096).

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

1257161189904 is a wasteful number, since it uses less digits than its factorization.

1257161189904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53042 (or 53030 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

It can be divided in two parts, 1257 and 161189904, that added together give a palindrome (161191161).

The spelling of 1257161189904 in words is "one trillion, two hundred fifty-seven billion, one hundred sixty-one million, one hundred eighty-nine thousand, nine hundred four".