1053651479328 has 768 divisors, whose sum is σ = 3862712448000. Its totient is φ = 272449142784.

The previous prime is 1053651479317. The next prime is 1053651479359. The reversal of 1053651479328 is 8239741563501.

It is a happy number.

1053651479328 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 514 + 7 + 93 + 2 + 8 = 666.

It is a super-2 number, since 2×1053651479328² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933260268 + ... + 933261396.

It is an arithmetic number, because the mean of its divisors is an integer number (5029573500).

It is a 1-persistent number, because it is pandigital, but 2⋅1053651479328 = 2107302958656 is not.

Almost surely, 2^{1053651479328} is an apocalyptic number.

1053651479328 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 1053651479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931356224000).

1053651479328 is an abundant number, since it is smaller than the sum of its proper divisors (2809060968672).

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

1053651479328 is a wasteful number, since it uses less digits than its factorization.

1053651479328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1053651479328 in words is "one trillion, fifty-three billion, six hundred fifty-one million, four hundred seventy-nine thousand, three hundred twenty-eight".