5185296900 has 216 divisors, whose sum is σ = 19007852864. Its totient is φ = 1157587200.

The previous prime is 5185296899. The next prime is 5185296911. The reversal of 5185296900 is 96925815.

It is a super-2 number, since 2×5185296900² = 53774607882299220000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 261330 + ... + 280470.

Almost surely, 2^5185296900 is an apocalyptic number.

5185296900 is a gapful number since it is divisible by the number (50) 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 5185296900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503926432).

5185296900 is an abundant number, since it is smaller than the sum of its proper divisors (13822555964).

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

5185296900 is a wasteful number, since it uses less digits than its factorization.

5185296900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19211 (or 19201 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 5185296900 is about 72009.0056867889. The cubic root of 5185296900 is about 1730.8437974484.

The spelling of 5185296900 in words is "five billion, one hundred eighty-five million, two hundred ninety-six thousand, nine hundred".