5071777372800 has 1152 divisors, whose sum is σ = 19776716352000. Its totient is φ = 1269069742080.

The previous prime is 5071777372799. The next prime is 5071777372811. The reversal of 5071777372800 is 82737771705.

5071777372800 is a `hidden beast` number, since 507 + 17 + 77 + 37 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 3524514481 + ... + 3524515919.

It is an arithmetic number, because the mean of its divisors is an integer number (17167288500).

Almost surely, 2^{5071777372800} is an apocalyptic number.

5071777372800 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 5071777372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888358176000).

5071777372800 is an abundant number, since it is smaller than the sum of its proper divisors (14704938979200).

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

5071777372800 is a wasteful number, since it uses less digits than its factorization.

5071777372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 4033680, while the sum is 54.

The spelling of 5071777372800 in words is "five trillion, seventy-one billion, seven hundred seventy-seven million, three hundred seventy-two thousand, eight hundred".