1187724053520 has 800 divisors, whose sum is σ = 4370914386432. Its totient is φ = 298327670784.

The previous prime is 1187724053501. The next prime is 1187724053539. The reversal of 1187724053520 is 253504277811.

1187724053520 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 72 + 4 + 0 + 53 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1187724053501) and next prime (1187724053539).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4516060909 + ... + 4516061171.

Almost surely, 2^{1187724053520} is an apocalyptic number.

1187724053520 is a gapful number since it is divisible by the number (10) 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 1187724053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185457193216).

1187724053520 is an abundant number, since it is smaller than the sum of its proper divisors (3183190332912).

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

1187724053520 is a wasteful number, since it uses less digits than its factorization.

1187724053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1187724053520 in words is "one trillion, one hundred eighty-seven billion, seven hundred twenty-four million, fifty-three thousand, five hundred twenty".