5074051053600 has 360 divisors, whose sum is σ = 18511766960148. Its totient is φ = 1352518041600.

The previous prime is 5074051053523. The next prime is 5074051053623. The reversal of 5074051053600 is 63501504705.

5074051053600 is a `hidden beast` number, since 5 + 0 + 7 + 40 + 5 + 1 + 0 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3715996446864 + 1358054606736 = 1927692^2 + 1165356^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 169566640 + ... + 169596560.

Almost surely, 2^{5074051053600} is an apocalyptic number.

5074051053600 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 5074051053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255883480074).

5074051053600 is an abundant number, since it is smaller than the sum of its proper divisors (13437715906548).

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

5074051053600 is a wasteful number, since it uses less digits than its factorization.

5074051053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32570 (or 32548 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 5074051053600 in words is "five trillion, seventy-four billion, fifty-one million, fifty-three thousand, six hundred".