1055015272704 has 288 divisors, whose sum is σ = 3088173312000. Its totient is φ = 318263869440.

The previous prime is 1055015272699. The next prime is 1055015272721. The reversal of 1055015272704 is 4072725105501.

It is a super-2 number, since 2×1055015272704² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346018572 + ... + 346021620.

It is an arithmetic number, because the mean of its divisors is an integer number (10722824000).

Almost surely, 2^{1055015272704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055015272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544086656000).

1055015272704 is an abundant number, since it is smaller than the sum of its proper divisors (2033158039296).

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

1055015272704 is a wasteful number, since it uses less digits than its factorization.

1055015272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 1055015272704 in words is "one trillion, fifty-five billion, fifteen million, two hundred seventy-two thousand, seven hundred four".