1054153958400 has 1485 divisors, whose sum is σ = 4216375553313. Its totient is φ = 260211916800.

The previous prime is 1054153958381. The next prime is 1054153958419. The reversal of 1054153958400 is 48593514501.

It is a happy number.

The square root of 1054153958400 is 1026720.

It is a perfect power (a square), and thus also a powerful number.

1054153958400 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 153 + 95 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1054153958381) and next prime (1054153958419).

It can be written as a sum of positive squares in only one way, i.e., 379495425024 + 674658533376 = 616032^2 + 821376^2 .

It is a super-2 number, since 2×1054153958400² (a number of 25 digits) contains 22 as substring.

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

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 134 ways as a sum of consecutive naturals, for example, 34004966385 + ... + 34004966415.

Almost surely, 2^{1054153958400} is an apocalyptic number.

1054153958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054153958400 is the 1026720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054153958400

1054153958400 is an abundant number, since it is smaller than the sum of its proper divisors (3162221594913).

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

1054153958400 is an equidigital number, since it uses as much as digits as its factorization.

1054153958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1054153958400 in words is "one trillion, fifty-four billion, one hundred fifty-three million, nine hundred fifty-eight thousand, four hundred".