5095778990400 has 1008 divisors, whose sum is σ = 21719200656000. Its totient is φ = 1158800670720.

The previous prime is 5095778990363. The next prime is 5095778990441. The reversal of 5095778990400 is 40998775905.

5095778990400 is a `hidden beast` number, since 50 + 9 + 577 + 8 + 9 + 9 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 421237152 + ... + 421249248.

Almost surely, 2^{5095778990400} is an apocalyptic number.

5095778990400 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 5095778990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859600328000).

5095778990400 is an abundant number, since it is smaller than the sum of its proper divisors (16623421665600).

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

5095778990400 is a wasteful number, since it uses less digits than its factorization.

5095778990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12341 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 5095778990400 in words is "five trillion, ninety-five billion, seven hundred seventy-eight million, nine hundred ninety thousand, four hundred".