5629278212100 has 81 divisors (see below), whose sum is σ = 17644882925397. Its totient is φ = 1501121875680.

The previous prime is 5629278212081. The next prime is 5629278212111. The reversal of 5629278212100 is 12128729265.

The square root of 5629278212100 is 2372610.

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

5629278212100 is a `hidden beast` number, since 5 + 62 + 9 + 278 + 212 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2026540156356 + 3602738055744 = 1423566^2 + 1898088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 71138757 + ... + 71217843.

Almost surely, 2^{5629278212100} is an apocalyptic number.

5629278212100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5629278212100 is the 2372610-th square number.

It is an amenable number.

5629278212100 is an abundant number, since it is smaller than the sum of its proper divisors (12015604713297).

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

5629278212100 is an frugal number, since it uses more digits than its factorization.

5629278212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158194 (or 79097 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5629278212100 in words is "five trillion, six hundred twenty-nine billion, two hundred seventy-eight million, two hundred twelve thousand, one hundred".