1051566738048 has 1152 divisors, whose sum is σ = 3610980172800. Its totient is φ = 303555133440.

The previous prime is 1051566738043. The next prime is 1051566738059. The reversal of 1051566738048 is 8408376651501.

It is a happy number.

1051566738048 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 566 + 7 + 38 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1051566738048² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1051566737985 and 1051566738003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051566738043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8027226943 + ... + 8027227073.

It is an arithmetic number, because the mean of its divisors is an integer number (3134531400).

Almost surely, 2^{1051566738048} is an apocalyptic number.

1051566738048 is a gapful number since it is divisible by the number (18) 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 1051566738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805490086400).

1051566738048 is an abundant number, since it is smaller than the sum of its proper divisors (2559413434752).

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

1051566738048 is a wasteful number, since it uses less digits than its factorization.

1051566738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1051566738048 in words is "one trillion, fifty-one billion, five hundred sixty-six million, seven hundred thirty-eight thousand, forty-eight".