1553167872 has 200 divisors, whose sum is σ = 4910719176. Its totient is φ = 487047168.

The previous prime is 1553167867. The next prime is 1553167919. The reversal of 1553167872 is 2787613551.

It is a happy number.

1553167872 is a `hidden beast` number, since 1 + 553 + 16 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×1553167872² = 4824660877226016768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 703923 + ... + 706125.

Almost surely, 2^1553167872 is an apocalyptic number.

1553167872 is a gapful number since it is divisible by the number (12) 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 1553167872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455359588).

1553167872 is an abundant number, since it is smaller than the sum of its proper divisors (3357551304).

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

1553167872 is an equidigital number, since it uses as much as digits as its factorization.

1553167872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2225 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1553167872 is about 39410.2508492397. The cubic root of 1553167872 is about 1158.0824124547.

The spelling of 1553167872 in words is "one billion, five hundred fifty-three million, one hundred sixty-seven thousand, eight hundred seventy-two".