5379933081600 has 2496 divisors, whose sum is σ = 25343672186880. Its totient is φ = 1086101913600.

The previous prime is 5379933081559. The next prime is 5379933081641. The reversal of 5379933081600 is 61803399735.

5379933081600 is a `hidden beast` number, since 537 + 9 + 93 + 3 + 0 + 8 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5379933081559) and next prime (5379933081641).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7876914859 + ... + 7876915541.

Almost surely, 2^{5379933081600} is an apocalyptic number.

5379933081600 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 5379933081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671836093440).

5379933081600 is an abundant number, since it is smaller than the sum of its proper divisors (19963739105280).

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

5379933081600 is a wasteful number, since it uses less digits than its factorization.

5379933081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 5379933081600 in words is "five trillion, three hundred seventy-nine billion, nine hundred thirty-three million, eighty-one thousand, six hundred".