541157503312300 has 288 divisors, whose sum is σ = 1392183418308480. Its totient is φ = 178712884224000.

The previous prime is 541157503312277. The next prime is 541157503312303. The reversal of 541157503312300 is 3213305751145.

It is not an unprimeable number, because it can be changed into a prime (541157503312303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36395009266 + ... + 36395024134.

It is an arithmetic number, because the mean of its divisors is an integer number (4833970202460).

Almost surely, 2^{541157503312300} is an apocalyptic number.

541157503312300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541157503312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696091709154240).

541157503312300 is an abundant number, since it is smaller than the sum of its proper divisors (851025914996180).

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

541157503312300 is a wasteful number, since it uses less digits than its factorization.

541157503312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28941 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 541157503312300 in words is "five hundred forty-one trillion, one hundred fifty-seven billion, five hundred three million, three hundred twelve thousand, three hundred".