1052672540400 has 1080 divisors, whose sum is σ = 4111682567616. Its totient is φ = 249080832000.

The previous prime is 1052672540281. The next prime is 1052672540411. The reversal of 1052672540400 is 40452762501.

It is a happy number.

1052672540400 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 72 + 540 + 40 + 0 = 666.

1052672540400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052672540400² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 2273590569 + ... + 2273591031.

Almost surely, 2^{1052672540400} is an apocalyptic number.

1052672540400 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 1052672540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055841283808).

1052672540400 is an abundant number, since it is smaller than the sum of its proper divisors (3059010027216).

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

1052672540400 is a wasteful number, since it uses less digits than its factorization.

1052672540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1052672540400 in words is "one trillion, fifty-two billion, six hundred seventy-two million, five hundred forty thousand, four hundred".