351125540780 has 192 divisors, whose sum is σ = 948204472320. Its totient is φ = 106429593600.

The previous prime is 351125540767. The next prime is 351125540807. The reversal of 351125540780 is 87045521153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2438390 + ... + 2578370.

It is an arithmetic number, because the mean of its divisors is an integer number (4938564960).

Almost surely, 2^351125540780 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 351125540780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474102236160).

351125540780 is an abundant number, since it is smaller than the sum of its proper divisors (597078931540).

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

351125540780 is a wasteful number, since it uses less digits than its factorization.

351125540780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140080 (or 140078 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 351125540780 in words is "three hundred fifty-one billion, one hundred twenty-five million, five hundred forty thousand, seven hundred eighty".