5012905190400 has 660 divisors, whose sum is σ = 18912843325332. Its totient is φ = 1311523799040.

The previous prime is 5012905190389. The next prime is 5012905190413. The reversal of 5012905190400 is 40915092105.

5012905190400 is a `hidden beast` number, since 5 + 0 + 12 + 90 + 519 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 549116568576 + 4463788621824 = 741024^2 + 2112768^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109877994 + ... + 109923606.

Almost surely, 2^{5012905190400} is an apocalyptic number.

5012905190400 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 5012905190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9456421662666).

5012905190400 is an abundant number, since it is smaller than the sum of its proper divisors (13899938134932).

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

5012905190400 is a wasteful number, since it uses less digits than its factorization.

5012905190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45708 (or 45676 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 5012905190400 in words is "five trillion, twelve billion, nine hundred five million, one hundred ninety thousand, four hundred".