51872970240000 has 2600 divisors, whose sum is σ = 238409768828000. Its totient is φ = 10940645376000.

The previous prime is 51872970239963. The next prime is 51872970240017. The reversal of 51872970240000 is 4207927815.

It is a happy number.

51872970240000 is a `hidden beast` number, since 518 + 7 + 2 + 97 + 0 + 2 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 18869758626 + ... + 18869761374.

Almost surely, 2^{51872970240000} is an apocalyptic number.

51872970240000 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 51872970240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119204884414000).

51872970240000 is an abundant number, since it is smaller than the sum of its proper divisors (186536798588000).

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

51872970240000 is an equidigital number, since it uses as much as digits as its factorization.

51872970240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51872970240000 in words is "fifty-one trillion, eight hundred seventy-two billion, nine hundred seventy million, two hundred forty thousand".