537889248000 has 1728 divisors, whose sum is σ = 2296027423872. Its totient is φ = 124216934400.

The previous prime is 537889247993. The next prime is 537889248041. The reversal of 537889248000 is 842988735.

It is a happy number.

537889248000 is a `hidden beast` number, since 5 + 3 + 78 + 8 + 92 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×537889248000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1718495844 + ... + 1718496156.

It is an arithmetic number, because the mean of its divisors is an integer number (1328719574).

Almost surely, 2^537889248000 is an apocalyptic number.

537889248000 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 537889248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148013711936).

537889248000 is an abundant number, since it is smaller than the sum of its proper divisors (1758138175872).

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

537889248000 is a wasteful number, since it uses less digits than its factorization.

537889248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 537889248000 in words is "five hundred thirty-seven billion, eight hundred eighty-nine million, two hundred forty-eight thousand".