4952329113600 has 2184 divisors, whose sum is σ = 20755226273952. Its totient is φ = 1160950579200.

The previous prime is 4952329113593. The next prime is 4952329113631. The reversal of 4952329113600 is 63119232594.

4952329113600 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 3 + 29 + 1 + 13 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 30382387119 + ... + 30382387281.

Almost surely, 2^{4952329113600} is an apocalyptic number.

4952329113600 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 4952329113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377613136976).

4952329113600 is an abundant number, since it is smaller than the sum of its proper divisors (15802897160352).

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

4952329113600 is a wasteful number, since it uses less digits than its factorization.

4952329113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 4952329113600 in words is "four trillion, nine hundred fifty-two billion, three hundred twenty-nine million, one hundred thirteen thousand, six hundred".