1557761005404 has 96 divisors (see below), whose sum is σ = 4067070120960. Its totient is φ = 515604833856.

The previous prime is 1557761005397. The next prime is 1557761005417. The reversal of 1557761005404 is 4045001677551.

1557761005404 is a `hidden beast` number, since 15 + 577 + 6 + 10 + 0 + 54 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1557761005404.

It is a congruent number.

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, 17396154 + ... + 17485470.

It is an arithmetic number, because the mean of its divisors is an integer number (42365313760).

Almost surely, 2^{1557761005404} 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 1557761005404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033535060480).

1557761005404 is an abundant number, since it is smaller than the sum of its proper divisors (2509309115556).

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

1557761005404 is a wasteful number, since it uses less digits than its factorization.

1557761005404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90464 (or 90456 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 1557761005404 in words is "one trillion, five hundred fifty-seven billion, seven hundred sixty-one million, five thousand, four hundred four".