4126525006590 has 192 divisors, whose sum is σ = 12753840033792. Its totient is φ = 905811379200.

The previous prime is 4126525006543. The next prime is 4126525006601. The reversal of 4126525006590 is 956005256214.

4126525006590 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 5 + 2 + 50 + 0 + 6 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1751974 + ... + 3364886.

It is an arithmetic number, because the mean of its divisors is an integer number (66426250176).

Almost surely, 2^{4126525006590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126525006590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376920016896).

4126525006590 is an abundant number, since it is smaller than the sum of its proper divisors (8627315027202).

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

4126525006590 is a wasteful number, since it uses less digits than its factorization.

4126525006590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613095 (or 1613092 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 4126525006590 in words is "four trillion, one hundred twenty-six billion, five hundred twenty-five million, six thousand, five hundred ninety".