4952610000 has 800 divisors, whose sum is σ = 20499937920. Its totient is φ = 1133568000.

The previous prime is 4952609999. The next prime is 4952610023. The reversal of 4952610000 is 162594.

4952610000 is a `hidden beast` number, since 49 + 5 + 2 + 610 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59669959 + ... + 59670041.

Almost surely, 2^4952610000 is an apocalyptic number.

4952610000 is a gapful number since it is divisible by the number (40) 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 4952610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249968960).

4952610000 is an abundant number, since it is smaller than the sum of its proper divisors (15547327920).

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

4952610000 is a wasteful number, since it uses less digits than its factorization.

4952610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4952610000 is about 70374.7824152942. The cubic root of 4952610000 is about 1704.5564042933.

Adding to 4952610000 its reverse (162594), we get a palindrome (4952772594).

The spelling of 4952610000 in words is "four billion, nine hundred fifty-two million, six hundred ten thousand".