1557653990464 has 112 divisors (see below), whose sum is σ = 3632497525440. Its totient is φ = 653354403840.

The previous prime is 1557653990441. The next prime is 1557653990471. The reversal of 1557653990464 is 4640993567551.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1557653990396 and 1557653990405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30844467 + ... + 30894925.

It is an arithmetic number, because the mean of its divisors is an integer number (32433013620).

Almost surely, 2^{1557653990464} 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 1557653990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816248762720).

1557653990464 is an abundant number, since it is smaller than the sum of its proper divisors (2074843534976).

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

1557653990464 is a wasteful number, since it uses less digits than its factorization.

1557653990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53868 (or 53858 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

The spelling of 1557653990464 in words is "one trillion, five hundred fifty-seven billion, six hundred fifty-three million, nine hundred ninety thousand, four hundred sixty-four".