73888527456 has 192 divisors, whose sum is σ = 238107340800. Its totient is φ = 22172755968.

The previous prime is 73888527431. The next prime is 73888527553. The reversal of 73888527456 is 65472588837.

73888527456 is a `hidden beast` number, since 7 + 3 + 88 + 85 + 27 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73888527393 and 73888527402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228465 + ... + 447183.

It is an arithmetic number, because the mean of its divisors is an integer number (1240142400).

Almost surely, 2^73888527456 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 73888527456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119053670400).

73888527456 is an abundant number, since it is smaller than the sum of its proper divisors (164218813344).

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

73888527456 is a wasteful number, since it uses less digits than its factorization.

73888527456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218778 (or 218764 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 73888527456 in words is "seventy-three billion, eight hundred eighty-eight million, five hundred twenty-seven thousand, four hundred fifty-six".