51145460270000 has 200 divisors, whose sum is σ = 130595987594160. Its totient is φ = 19344199680000.

The previous prime is 51145460269993. The next prime is 51145460270039. The reversal of 51145460270000 is 7206454115.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98731664 + ... + 99248336.

Almost surely, 2^{51145460270000} is an apocalyptic number.

51145460270000 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 51145460270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65297993797080).

51145460270000 is an abundant number, since it is smaller than the sum of its proper divisors (79450527324160).

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

51145460270000 is a wasteful number, since it uses less digits than its factorization.

51145460270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517241 (or 517220 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 51145460270000 in words is "fifty-one trillion, one hundred forty-five billion, four hundred sixty million, two hundred seventy thousand".