4913535513600 has 4224 divisors, whose sum is σ = 23579930787840. Its totient is φ = 976748544000.

The previous prime is 4913535513539. The next prime is 4913535513673. The reversal of 4913535513600 is 63155353194.

4913535513600 is a `hidden beast` number, since 4 + 9 + 1 + 3 + 5 + 35 + 5 + 1 + 3 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 104543308777 + ... + 104543308823.

Almost surely, 2^{4913535513600} is an apocalyptic number.

4913535513600 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 4913535513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789965393920).

4913535513600 is an abundant number, since it is smaller than the sum of its proper divisors (18666395274240).

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

4913535513600 is a wasteful number, since it uses less digits than its factorization.

4913535513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 4913535513600 in words is "four trillion, nine hundred thirteen billion, five hundred thirty-five million, five hundred thirteen thousand, six hundred".