5262527760400 has 135 divisors (see below), whose sum is σ = 13219479309981. Its totient is φ = 2013085134720.

The previous prime is 5262527760367. The next prime is 5262527760419. The reversal of 5262527760400 is 40677252625.

The square root of 5262527760400 is 2294020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1894509993744 + 3368017766656 = 1376412^2 + 1835216^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1055246707 + ... + 1055251693.

Almost surely, 2^{5262527760400} is an apocalyptic number.

5262527760400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5262527760400 is the 2294020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262527760400

5262527760400 is an abundant number, since it is smaller than the sum of its proper divisors (7956951549581).

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

5262527760400 is an frugal number, since it uses more digits than its factorization.

5262527760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 5262527760400 in words is "five trillion, two hundred sixty-two billion, five hundred twenty-seven million, seven hundred sixty thousand, four hundred".