1625209992 has 384 divisors, whose sum is σ = 5678899200. Its totient is φ = 409204224.

The previous prime is 1625209981. The next prime is 1625210003. The reversal of 1625209992 is 2999025261.

It is an interprime number because it is at equal distance from previous prime (1625209981) and next prime (1625210003).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10351578 + ... + 10351734.

It is an arithmetic number, because the mean of its divisors is an integer number (14788800).

Almost surely, 2^1625209992 is an apocalyptic number.

1625209992 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 1625209992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839449600).

1625209992 is an abundant number, since it is smaller than the sum of its proper divisors (4053689208).

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

1625209992 is a wasteful number, since it uses less digits than its factorization.

1625209992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1625209992 is about 40313.8932875504. The cubic root of 1625209992 is about 1175.7179838815.

It can be divided in two parts, 162 and 5209992, that multiplied together give a square (844018704 = 29052²).

The spelling of 1625209992 in words is "one billion, six hundred twenty-five million, two hundred nine thousand, nine hundred ninety-two".