1054254560400 has 600 divisors, whose sum is σ = 3973729218624. Its totient is φ = 267168844800.

The previous prime is 1054254560393. The next prime is 1054254560419. The reversal of 1054254560400 is 40654524501.

1054254560400 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 5 + 45 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1054254560400² (a number of 25 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 116991895 + ... + 117000905.

Almost surely, 2^{1054254560400} is an apocalyptic number.

1054254560400 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 1054254560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986864609312).

1054254560400 is an abundant number, since it is smaller than the sum of its proper divisors (2919474658224).

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

1054254560400 is a wasteful number, since it uses less digits than its factorization.

1054254560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1054254560400 in words is "one trillion, fifty-four billion, two hundred fifty-four million, five hundred sixty thousand, four hundred".