1187903826432 has 320 divisors, whose sum is σ = 3698261867520. Its totient is φ = 375957504000.

The previous prime is 1187903826367. The next prime is 1187903826449. The reversal of 1187903826432 is 2346283097811.

It is a happy number.

1187903826432 is a `hidden beast` number, since 1 + 187 + 9 + 0 + 3 + 8 + 26 + 432 = 666.

It is a super-2 number, since 2×1187903826432² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22686682 + ... + 22738982.

It is an arithmetic number, because the mean of its divisors is an integer number (11557068336).

Almost surely, 2^{1187903826432} is an apocalyptic number.

1187903826432 is a gapful number since it is divisible by the number (12) 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 1187903826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849130933760).

1187903826432 is an abundant number, since it is smaller than the sum of its proper divisors (2510358041088).

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

1187903826432 is an equidigital number, since it uses as much as digits as its factorization.

1187903826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52412 (or 52390 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1187903826432 in words is "one trillion, one hundred eighty-seven billion, nine hundred three million, eight hundred twenty-six thousand, four hundred thirty-two".