5578269312000 has 1408 divisors, whose sum is σ = 23423048183808. Its totient is φ = 1144651776000.

The previous prime is 5578269311999. The next prime is 5578269312047. The reversal of 5578269312000 is 2139628755.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×5578269312000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2454142864 + ... + 2454145136.

Almost surely, 2^{5578269312000} is an apocalyptic number.

5578269312000 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 5578269312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711524091904).

5578269312000 is an abundant number, since it is smaller than the sum of its proper divisors (17844778871808).

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

5578269312000 is a wasteful number, since it uses less digits than its factorization.

5578269312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 5578269312000 in words is "five trillion, five hundred seventy-eight billion, two hundred sixty-nine million, three hundred twelve thousand".