1054095541632 has 256 divisors, whose sum is σ = 3764628403200. Its totient is φ = 283454152704.

The previous prime is 1054095541613. The next prime is 1054095541633. The reversal of 1054095541632 is 2361455904501.

It is a happy number.

1054095541632 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 9 + 5 + 5 + 4 + 1 + 632 = 666.

It is a super-2 number, since 2×1054095541632² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054095541633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870268 + ... + 1692795.

It is an arithmetic number, because the mean of its divisors is an integer number (14705579700).

Almost surely, 2^{1054095541632} is an apocalyptic number.

1054095541632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054095541632 is an abundant number, since it is smaller than the sum of its proper divisors (2710532861568).

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

1054095541632 is a wasteful number, since it uses less digits than its factorization.

1054095541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563110 (or 2563092 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1054095541632 in words is "one trillion, fifty-four billion, ninety-five million, five hundred forty-one thousand, six hundred thirty-two".