540619861950 has 384 divisors, whose sum is σ = 1805524439040. Its totient is φ = 116117452800.

The previous prime is 540619861937. The next prime is 540619861987. The reversal of 540619861950 is 59168916045.

540619861950 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 19 + 8 + 619 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117754155 + ... + 117758745.

It is an arithmetic number, because the mean of its divisors is an integer number (4701886560).

Almost surely, 2^540619861950 is an apocalyptic number.

540619861950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540619861950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902762219520).

540619861950 is an abundant number, since it is smaller than the sum of its proper divisors (1264904577090).

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

540619861950 is a wasteful number, since it uses less digits than its factorization.

540619861950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 540619861950 in words is "five hundred forty billion, six hundred nineteen million, eight hundred sixty-one thousand, nine hundred fifty".