1591161062400 has 2112 divisors, whose sum is σ = 7378962716160. Its totient is φ = 326998425600.

The previous prime is 1591161062371. The next prime is 1591161062429. The reversal of 1591161062400 is 42601611951.

1591161062400 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 16 + 10 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1591161062371) and next prime (1591161062429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2578866892 + ... + 2578867508.

Almost surely, 2^{1591161062400} is an apocalyptic number.

1591161062400 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 1591161062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689481358080).

1591161062400 is an abundant number, since it is smaller than the sum of its proper divisors (5787801653760).

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

1591161062400 is a wasteful number, since it uses less digits than its factorization.

1591161062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1591161062400 in words is "one trillion, five hundred ninety-one billion, one hundred sixty-one million, sixty-two thousand, four hundred".