5487687761920 has 1152 divisors, whose sum is σ = 17756937676800. Its totient is φ = 1579105124352.

The previous prime is 5487687761851. The next prime is 5487687761923. The reversal of 5487687761920 is 291677867845.

It is a super-2 number, since 2×5487687761920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 5487687761920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5487687761923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32860405677 + ... + 32860405843.

It is an arithmetic number, because the mean of its divisors is an integer number (15414008400).

Almost surely, 2^{5487687761920} 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 5487687761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878468838400).

5487687761920 is an abundant number, since it is smaller than the sum of its proper divisors (12269249914880).

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

5487687761920 is a wasteful number, since it uses less digits than its factorization.

5487687761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 70.

The spelling of 5487687761920 in words is "five trillion, four hundred eighty-seven billion, six hundred eighty-seven million, seven hundred sixty-one thousand, nine hundred twenty".