1552020252352 has 56 divisors (see below), whose sum is σ = 3113117301312. Its totient is φ = 767626752000.

The previous prime is 1552020252331. The next prime is 1552020252353. The reversal of 1552020252352 is 2532520202551.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1552020252353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7020952 + ... + 7238632.

Almost surely, 2^{1552020252352} 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 1552020252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556558650656).

1552020252352 is an abundant number, since it is smaller than the sum of its proper divisors (1561097048960).

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

1552020252352 is a wasteful number, since it uses less digits than its factorization.

1552020252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218897 (or 218887 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 1552020252352 in words is "one trillion, five hundred fifty-two billion, twenty million, two hundred fifty-two thousand, three hundred fifty-two".