601261388000 has 384 divisors, whose sum is σ = 1823809478400. Its totient is φ = 189703987200.

The previous prime is 601261387999. The next prime is 601261388027. The reversal of 601261388000 is 883162106.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127033634 + ... + 127038366.

It is an arithmetic number, because the mean of its divisors is an integer number (4749503850).

Almost surely, 2^601261388000 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 601261388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911904739200).

601261388000 is an abundant number, since it is smaller than the sum of its proper divisors (1222548090400).

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

601261388000 is a wasteful number, since it uses less digits than its factorization.

601261388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 601261388000 in words is "six hundred one billion, two hundred sixty-one million, three hundred eighty-eight thousand".