5715363654000 has 3840 divisors, whose sum is σ = 29055324340224. Its totient is φ = 1007271936000.

The previous prime is 5715363653981. The next prime is 5715363654029. The reversal of 5715363654000 is 4563635175.

5715363654000 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 3 + 636 + 5 + 4 + 0 + 0 + 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 767 ways as a sum of consecutive naturals, for example, 14396381802 + ... + 14396382198.

Almost surely, 2^{5715363654000} is an apocalyptic number.

5715363654000 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 5715363654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14527662170112).

5715363654000 is an abundant number, since it is smaller than the sum of its proper divisors (23339960686224).

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

5715363654000 is a wasteful number, since it uses less digits than its factorization.

5715363654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 5715363654000 in words is "five trillion, seven hundred fifteen billion, three hundred sixty-three million, six hundred fifty-four thousand".