4920527001600 has 1728 divisors, whose sum is σ = 22266782647200. Its totient is φ = 1058285813760.

The previous prime is 4920527001563. The next prime is 4920527001619. The reversal of 4920527001600 is 61007250294.

4920527001600 is a `hidden beast` number, since 4 + 9 + 20 + 5 + 27 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1151537064 + ... + 1151541336.

Almost surely, 2^{4920527001600} is an apocalyptic number.

4920527001600 is a gapful number since it is divisible by the number (40) 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 4920527001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133391323600).

4920527001600 is an abundant number, since it is smaller than the sum of its proper divisors (17346255645600).

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

4920527001600 is a wasteful number, since it uses less digits than its factorization.

4920527001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 4920527001600 in words is "four trillion, nine hundred twenty billion, five hundred twenty-seven million, one thousand, six hundred".