726158131200 has 900 divisors, whose sum is σ = 2758078341480. Its totient is φ = 188767272960.

The previous prime is 726158131159. The next prime is 726158131217. The reversal of 726158131200 is 2131851627.

726158131200 is a `hidden beast` number, since 7 + 2 + 61 + 581 + 3 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1426636546 + ... + 1426637054.

Almost surely, 2^726158131200 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 726158131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379039170740).

726158131200 is an abundant number, since it is smaller than the sum of its proper divisors (2031920210280).

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

726158131200 is an equidigital number, since it uses as much as digits as its factorization.

726158131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 726158131200 its reverse (2131851627), we get a palindrome (728289982827).

The spelling of 726158131200 in words is "seven hundred twenty-six billion, one hundred fifty-eight million, one hundred thirty-one thousand, two hundred".