5094765950400 has 336 divisors, whose sum is σ = 21225497076480. Its totient is φ = 1164517862400.

The previous prime is 5094765950377. The next prime is 5094765950429. The reversal of 5094765950400 is 40595674905.

5094765950400 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 7 + 6 + 595 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

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, 8121486 + ... + 8726285.

Almost surely, 2^{5094765950400} is an apocalyptic number.

5094765950400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5094765950400 is an abundant number, since it is smaller than the sum of its proper divisors (16130731126080).

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

5094765950400 is a wasteful number, since it uses less digits than its factorization.

5094765950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847809 (or 16847788 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 5094765950400 in words is "five trillion, ninety-four billion, seven hundred sixty-five million, nine hundred fifty thousand, four hundred".