101487455949600 has 2592 divisors, whose sum is σ = 445598228013120. Its totient is φ = 22224977510400.

The previous prime is 101487455949559. The next prime is 101487455949613. The reversal of 101487455949600 is 6949554784101.

101487455949600 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 7 + 455 + 94 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 114934830759 + ... + 114934831641.

It is an arithmetic number, because the mean of its divisors is an integer number (171912896610).

Almost surely, 2^{101487455949600} is an apocalyptic number.

101487455949600 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 101487455949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222799114006560).

101487455949600 is an abundant number, since it is smaller than the sum of its proper divisors (344110772063520).

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

101487455949600 is a wasteful number, since it uses less digits than its factorization.

101487455949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 101487455949600 in words is "one hundred one trillion, four hundred eighty-seven billion, four hundred fifty-five million, nine hundred forty-nine thousand, six hundred".