75148216560 has 480 divisors, whose sum is σ = 270694674432. Its totient is φ = 19360373760.

The previous prime is 75148216553. The next prime is 75148216573. The reversal of 75148216560 is 6561284157.

75148216560 is a `hidden beast` number, since 7 + 5 + 1 + 4 + 82 + 1 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137382207 + ... + 137382753.

Almost surely, 2^75148216560 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 75148216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135347337216).

75148216560 is an abundant number, since it is smaller than the sum of its proper divisors (195546457872).

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

75148216560 is a wasteful number, since it uses less digits than its factorization.

75148216560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

It can be divided in two parts, 7514821 and 6560, that added together give a triangular number (7521381 = T₃₈₇₈).

The spelling of 75148216560 in words is "seventy-five billion, one hundred forty-eight million, two hundred sixteen thousand, five hundred sixty".