5150990642400 has 288 divisors, whose sum is σ = 18654281049600. Its totient is φ = 1371764160000.

The previous prime is 5150990642381. The next prime is 5150990642419. The reversal of 5150990642400 is 42460990515.

5150990642400 is a `hidden beast` number, since 5 + 150 + 9 + 90 + 6 + 4 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5150990642381) and next prime (5150990642419).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16062831 + ... + 16380369.

It is an arithmetic number, because the mean of its divisors is an integer number (64771809200).

Almost surely, 2^{5150990642400} is an apocalyptic number.

5150990642400 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 5150990642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327140524800).

5150990642400 is an abundant number, since it is smaller than the sum of its proper divisors (13503290407200).

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

5150990642400 is a wasteful number, since it uses less digits than its factorization.

5150990642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318319 (or 318300 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5150990642400 in words is "five trillion, one hundred fifty billion, nine hundred ninety million, six hundred forty-two thousand, four hundred".