4954135953600 has 336 divisors, whose sum is σ = 18117779197440. Its totient is φ = 1316851430400.

The previous prime is 4954135953593. The next prime is 4954135953629. The reversal of 4954135953600 is 63595314594.

4954135953600 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 13 + 595 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13250829 + ... + 13619571.

Almost surely, 2^{4954135953600} is an apocalyptic number.

4954135953600 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 4954135953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9058889598720).

4954135953600 is an abundant number, since it is smaller than the sum of its proper divisors (13163643243840).

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

4954135953600 is a wasteful number, since it uses less digits than its factorization.

4954135953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369085 (or 369064 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 4954135953600 in words is "four trillion, nine hundred fifty-four billion, one hundred thirty-five million, nine hundred fifty-three thousand, six hundred".