540248098572000 has 10752 divisors, whose sum is σ = 2794128269377536. Its totient is φ = 99325771776000.

The previous prime is 540248098571953. The next prime is 540248098572011. The reversal of 540248098572000 is 275890842045.

540248098572000 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 480 + 98 + 5 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×540248098572000² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 1791 ways as a sum of consecutive naturals, for example, 4253922035937 + ... + 4253922036063.

It is an arithmetic number, because the mean of its divisors is an integer number (259870560768).

Almost surely, 2^{540248098572000} is an apocalyptic number.

540248098572000 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 540248098572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397064134688768).

540248098572000 is an abundant number, since it is smaller than the sum of its proper divisors (2253880170805536).

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

540248098572000 is a wasteful number, since it uses less digits than its factorization.

540248098572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 540248098572000 in words is "five hundred forty trillion, two hundred forty-eight billion, ninety-eight million, five hundred seventy-two thousand".