1052653578240 has 1536 divisors, whose sum is σ = 4206295941120. Its totient is φ = 221459251200.

The previous prime is 1052653578227. The next prime is 1052653578241. The reversal of 1052653578240 is 428753562501.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1052653578240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1052653578240.

It is not an unprimeable number, because it can be changed into a prime (1052653578241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4095928192 + ... + 4095928448.

It is an arithmetic number, because the mean of its divisors is an integer number (2738473920).

Almost surely, 2^{1052653578240} is an apocalyptic number.

1052653578240 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 1052653578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103147970560).

1052653578240 is an abundant number, since it is smaller than the sum of its proper divisors (3153642362880).

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

1052653578240 is a wasteful number, since it uses less digits than its factorization.

1052653578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 1052653578240 in words is "one trillion, fifty-two billion, six hundred fifty-three million, five hundred seventy-eight thousand, two hundred forty".