5777212000896 has 256 divisors, whose sum is σ = 19562472288000. Its totient is φ = 1644207538176.

The previous prime is 5777212000853. The next prime is 5777212000913. The reversal of 5777212000896 is 6980002127775.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5752740 + ... + 6681948.

It is an arithmetic number, because the mean of its divisors is an integer number (76415907375).

Almost surely, 2^{5777212000896} is an apocalyptic number.

5777212000896 is a gapful number since it is divisible by the number (56) 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 5777212000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781236144000).

5777212000896 is an abundant number, since it is smaller than the sum of its proper divisors (13785260287104).

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

5777212000896 is a wasteful number, since it uses less digits than its factorization.

5777212000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929496 (or 929478 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 5777212000896 in words is "five trillion, seven hundred seventy-seven billion, two hundred twelve million, eight hundred ninety-six", and thus it is an aban number.