1187547291840 has 448 divisors, whose sum is σ = 4748504656896. Its totient is φ = 244731691008.

The previous prime is 1187547291839. The next prime is 1187547291841. The reversal of 1187547291840 is 481927457811.

It is an interprime number because it is at equal distance from previous prime (1187547291839) and next prime (1187547291841).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (1187547291841) 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, 3598414 + ... + 3914546.

It is an arithmetic number, because the mean of its divisors is an integer number (10599340752).

Almost surely, 2^{1187547291840} is an apocalyptic number.

1187547291840 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 1187547291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374252328448).

1187547291840 is an abundant number, since it is smaller than the sum of its proper divisors (3560957365056).

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

1187547291840 is a wasteful number, since it uses less digits than its factorization.

1187547291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316216 (or 316206 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 1187547291840 in words is "one trillion, one hundred eighty-seven billion, five hundred forty-seven million, two hundred ninety-one thousand, eight hundred forty".