1252476086400 has 1536 divisors, whose sum is σ = 5900079513600. Its totient is φ = 251817984000.

The previous prime is 1252476086387. The next prime is 1252476086441. The reversal of 1252476086400 is 46806742521.

1252476086400 is a `hidden beast` number, since 1 + 2 + 524 + 7 + 6 + 0 + 86 + 40 + 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, 206233764 + ... + 206239836.

It is an arithmetic number, because the mean of its divisors is an integer number (3841197600).

Almost surely, 2^{1252476086400} is an apocalyptic number.

1252476086400 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 1252476086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950039756800).

1252476086400 is an abundant number, since it is smaller than the sum of its proper divisors (4647603427200).

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

1252476086400 is a wasteful number, since it uses less digits than its factorization.

1252476086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1252476086400 in words is "one trillion, two hundred fifty-two billion, four hundred seventy-six million, eighty-six thousand, four hundred".