1585551651264 has 560 divisors, whose sum is σ = 5746332537792. Its totient is φ = 421955371008.

The previous prime is 1585551651253. The next prime is 1585551651287. The reversal of 1585551651264 is 4621561555851.

1585551651264 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 55 + 16 + 512 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1585551651264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59825664 + ... + 59852160.

Almost surely, 2^{1585551651264} is an apocalyptic number.

1585551651264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1585551651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873166268896).

1585551651264 is an abundant number, since it is smaller than the sum of its proper divisors (4160780886528).

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

1585551651264 is a wasteful number, since it uses less digits than its factorization.

1585551651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642 (or 26623 counting only the distinct ones).

The product of its digits is 7200000, while the sum is 54.

The spelling of 1585551651264 in words is "one trillion, five hundred eighty-five billion, five hundred fifty-one million, six hundred fifty-one thousand, two hundred sixty-four".