1480953795552 has 1008 divisors, whose sum is σ = 5840344944000. Its totient is φ = 364359098880.

The previous prime is 1480953795527. The next prime is 1480953795577. The reversal of 1480953795552 is 2555973590841.

1480953795552 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 9 + 5 + 3 + 79 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1480953795527) and next prime (1480953795577).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1480953795552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 238898949 + ... + 238905147.

It is an arithmetic number, because the mean of its divisors is an integer number (5793993000).

Almost surely, 2^{1480953795552} is an apocalyptic number.

1480953795552 is a gapful number since it is divisible by the number (12) 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 1480953795552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920172472000).

1480953795552 is an abundant number, since it is smaller than the sum of its proper divisors (4359391148448).

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

1480953795552 is a wasteful number, since it uses less digits than its factorization.

1480953795552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 1480953795552 in words is "one trillion, four hundred eighty billion, nine hundred fifty-three million, seven hundred ninety-five thousand, five hundred fifty-two".