1054820612700 has 180 divisors, whose sum is σ = 3423778364160. Its totient is φ = 280918056960.

The previous prime is 1054820612693. The next prime is 1054820612759. The reversal of 1054820612700 is 72160284501.

1054820612700 is a `hidden beast` number, since 10 + 5 + 4 + 8 + 20 + 612 + 7 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1054820612700² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6144229 + ... + 6313571.

It is an arithmetic number, because the mean of its divisors is an integer number (19020990912).

Almost surely, 2^{1054820612700} is an apocalyptic number.

1054820612700 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 1054820612700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711889182080).

1054820612700 is an abundant number, since it is smaller than the sum of its proper divisors (2368957751460).

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

1054820612700 is a wasteful number, since it uses less digits than its factorization.

1054820612700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170138 (or 170122 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1054820612700 in words is "one trillion, fifty-four billion, eight hundred twenty million, six hundred twelve thousand, seven hundred".