1138654026720 has 1536 divisors, whose sum is σ = 4820497920000. Its totient is φ = 253926586368.

The previous prime is 1138654026709. The next prime is 1138654026739. The reversal of 1138654026720 is 276204568311.

1138654026720 is a `hidden beast` number, since 1 + 1 + 3 + 86 + 540 + 2 + 6 + 7 + 20 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 6361195591 + ... + 6361195769.

It is an arithmetic number, because the mean of its divisors is an integer number (3138345000).

Almost surely, 2^{1138654026720} is an apocalyptic number.

1138654026720 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 1138654026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410248960000).

1138654026720 is an abundant number, since it is smaller than the sum of its proper divisors (3681843893280).

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

1138654026720 is an frugal number, since it uses more digits than its factorization.

1138654026720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1138654026720 in words is "one trillion, one hundred thirty-eight billion, six hundred fifty-four million, twenty-six thousand, seven hundred twenty".