1054687920400 has 45 divisors (see below), whose sum is σ = 2533937076111. Its totient is φ = 421866952320.

The previous prime is 1054687920383. The next prime is 1054687920409. The reversal of 1054687920400 is 40297864501.

The square root of 1054687920400 is 1026980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 368997932304 + 685689988096 = 607452^2 + 828064^2 .

It is a super-2 number, since 2×1054687920400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1054687920409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20513926 + ... + 20565274.

Almost surely, 2^{1054687920400} is an apocalyptic number.

1054687920400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054687920400 is the 1026980-th square number.

It is an amenable number.

1054687920400 is an abundant number, since it is smaller than the sum of its proper divisors (1479249155711).

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

1054687920400 is an frugal number, since it uses more digits than its factorization.

1054687920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102716 (or 51356 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1054687920400 in words is "one trillion, fifty-four billion, six hundred eighty-seven million, nine hundred twenty thousand, four hundred".