5126407627000 has 128 divisors (see below), whose sum is σ = 13091711443200. Its totient is φ = 1863380304000.

The previous prime is 5126407626929. The next prime is 5126407627021. The reversal of 5126407627000 is 7267046215.

It is a super-2 number, since 2×5126407627000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 26954239 + ... + 27143761.

It is an arithmetic number, because the mean of its divisors is an integer number (102278995650).

Almost surely, 2^{5126407627000} is an apocalyptic number.

5126407627000 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 5126407627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545855721600).

5126407627000 is an abundant number, since it is smaller than the sum of its proper divisors (7965303816200).

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

5126407627000 is a wasteful number, since it uses less digits than its factorization.

5126407627000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192014 (or 192000 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 5126407627000 in words is "five trillion, one hundred twenty-six billion, four hundred seven million, six hundred twenty-seven thousand".