4251956026500 has 1152 divisors, whose sum is σ = 16970918694912. Its totient is φ = 872269516800.

The previous prime is 4251956026499. The next prime is 4251956026501. The reversal of 4251956026500 is 56206591524.

4251956026500 is a `hidden beast` number, since 4 + 2 + 5 + 19 + 560 + 26 + 50 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4251956026499) and next prime (4251956026501).

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

It is not an unprimeable number, because it can be changed into a prime (4251956026501) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3329643862 + ... + 3329645138.

It is an arithmetic number, because the mean of its divisors is an integer number (14731700256).

Almost surely, 2^{4251956026500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4251956026500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485459347456).

4251956026500 is an abundant number, since it is smaller than the sum of its proper divisors (12718962668412).

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

4251956026500 is a wasteful number, since it uses less digits than its factorization.

4251956026500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1527 counting only the distinct ones).

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

The spelling of 4251956026500 in words is "four trillion, two hundred fifty-one billion, nine hundred fifty-six million, twenty-six thousand, five hundred".