5415707049984 has 1536 divisors, whose sum is σ = 20674616901120. Its totient is φ = 1387407605760.

The previous prime is 5415707049947. The next prime is 5415707050003. The reversal of 5415707049984 is 4899407075145.

5415707049984 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 70 + 70 + 499 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74187767772 + ... + 74187767844.

It is an arithmetic number, because the mean of its divisors is an integer number (13460037045).

Almost surely, 2^{5415707049984} is an apocalyptic number.

5415707049984 is a gapful number since it is divisible by the number (54) 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 5415707049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337308450560).

5415707049984 is an abundant number, since it is smaller than the sum of its proper divisors (15258909851136).

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

5415707049984 is an frugal number, since it uses more digits than its factorization.

5415707049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 5415707049984 in words is "five trillion, four hundred fifteen billion, seven hundred seven million, forty-nine thousand, nine hundred eighty-four".