61480006551552 has 576 divisors, whose sum is σ = 172086776709120. Its totient is φ = 19516510863360.

The previous prime is 61480006551527. The next prime is 61480006551577. The reversal of 61480006551552 is 25515560008416.

61480006551552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61480006551527) and next prime (61480006551577).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122226652933 + ... + 122226653435.

It is an arithmetic number, because the mean of its divisors is an integer number (298761765120).

Almost surely, 2^{61480006551552} is an apocalyptic number.

61480006551552 is a gapful number since it is divisible by the number (62) 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 61480006551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86043388354560).

61480006551552 is an abundant number, since it is smaller than the sum of its proper divisors (110606770157568).

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

61480006551552 is a wasteful number, since it uses less digits than its factorization.

61480006551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

Adding to 61480006551552 its reverse (25515560008416), we get a palindrome (86995566559968).

The spelling of 61480006551552 in words is "sixty-one trillion, four hundred eighty billion, six million, five hundred fifty-one thousand, five hundred fifty-two".