45877215102720 has 432 divisors, whose sum is σ = 150557040382560. Its totient is φ = 11905668218880.

The previous prime is 45877215102701. The next prime is 45877215102721. The reversal of 45877215102720 is 2720151277854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45877215102721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640102672 + ... + 2640120048.

Almost surely, 2^{45877215102720} is an apocalyptic number.

45877215102720 is a gapful number since it is divisible by the number (40) 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 45877215102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75278520191280).

45877215102720 is an abundant number, since it is smaller than the sum of its proper divisors (104679825279840).

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

45877215102720 is a wasteful number, since it uses less digits than its factorization.

45877215102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 51.

The spelling of 45877215102720 in words is "forty-five trillion, eight hundred seventy-seven billion, two hundred fifteen million, one hundred two thousand, seven hundred twenty".