1054379848900 has 81 divisors (see below), whose sum is σ = 2661737443239. Its totient is φ = 361477018560.

The previous prime is 1054379848877. The next prime is 1054379848909. The reversal of 1054379848900 is 98489734501.

The square root of 1054379848900 is 1026830.

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 28751044 + 1054351097856 = 5362^2 + 1026816^2 .

It is a super-2 number, since 2×1054379848900² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054379848909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71870766 + ... + 71885434.

Almost surely, 2^{1054379848900} is an apocalyptic number.

1054379848900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054379848900 is the 1026830-th square number.

It is an amenable number.

1054379848900 is an abundant number, since it is smaller than the sum of its proper divisors (1607357594339).

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

1054379848900 is an frugal number, since it uses more digits than its factorization.

1054379848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29366 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 1054379848900 in words is "one trillion, fifty-four billion, three hundred seventy-nine million, eight hundred forty-eight thousand, nine hundred".