127653320246400 has 576 divisors, whose sum is σ = 493472051392320. Its totient is φ = 31234182635520.

The previous prime is 127653320246369. The next prime is 127653320246411. The reversal of 127653320246400 is 4642023356721.

127653320246400 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 5 + 33 + 202 + 4 + 6 + 400 = 666.

127653320246400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61503979 + ... + 63545621.

It is an arithmetic number, because the mean of its divisors is an integer number (856722311445).

Almost surely, 2^{127653320246400} is an apocalyptic number.

127653320246400 is a gapful number since it is divisible by the number (10) 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 127653320246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246736025696160).

127653320246400 is an abundant number, since it is smaller than the sum of its proper divisors (365818731145920).

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

127653320246400 is a wasteful number, since it uses less digits than its factorization.

127653320246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041853 (or 2041833 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 127653320246400 in words is "one hundred twenty-seven trillion, six hundred fifty-three billion, three hundred twenty million, two hundred forty-six thousand, four hundred".