1516096634400 has 1152 divisors, whose sum is σ = 5756031590400. Its totient is φ = 389659714560.

The previous prime is 1516096634399. The next prime is 1516096634411. The reversal of 1516096634400 is 44366906151.

1516096634400 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 0 + 9 + 6 + 634 + 4 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 8469813511 + ... + 8469813689.

It is an arithmetic number, because the mean of its divisors is an integer number (4996555200).

Almost surely, 2^{1516096634400} is an apocalyptic number.

1516096634400 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 1516096634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878015795200).

1516096634400 is an abundant number, since it is smaller than the sum of its proper divisors (4239934956000).

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

1516096634400 is a wasteful number, since it uses less digits than its factorization.

1516096634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1516096634400 in words is "one trillion, five hundred sixteen billion, ninety-six million, six hundred thirty-four thousand, four hundred".