5426627415000 has 320 divisors, whose sum is σ = 18627074928000. Its totient is φ = 1306076160000.

The previous prime is 5426627414987. The next prime is 5426627415059. The reversal of 5426627415000 is 5147266245.

It is a super-3 number, since 3×5426627415000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22816696 + ... + 23053304.

It is an arithmetic number, because the mean of its divisors is an integer number (58209609150).

Almost surely, 2^{5426627415000} is an apocalyptic number.

5426627415000 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 5426627415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313537464000).

5426627415000 is an abundant number, since it is smaller than the sum of its proper divisors (13200447513000).

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

5426627415000 is a wasteful number, since it uses less digits than its factorization.

5426627415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236788 (or 236769 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 5426627415000 in words is "five trillion, four hundred twenty-six billion, six hundred twenty-seven million, four hundred fifteen thousand".