5751362880 has 336 divisors, whose sum is σ = 21079968000. Its totient is φ = 1491499008.

The previous prime is 5751362807. The next prime is 5751362891. The reversal of 5751362880 is 882631575.

5751362880 is a `hidden beast` number, since 5 + 7 + 5 + 13 + 628 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2876121 + ... + 2878119.

It is an arithmetic number, because the mean of its divisors is an integer number (62738000).

Almost surely, 2^5751362880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5751362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539984000).

5751362880 is an abundant number, since it is smaller than the sum of its proper divisors (15328605120).

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

5751362880 is a wasteful number, since it uses less digits than its factorization.

5751362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5751362880 is about 75837.7404726697. The cubic root of 5751362880 is about 1791.6654682187.

The spelling of 5751362880 in words is "five billion, seven hundred fifty-one million, three hundred sixty-two thousand, eight hundred eighty".